MATLAB: Hello,can anyone help me completeing this program? in the program i have an equation in laplace domain, in which i have symbolic constants and variables. i’am willing to find its inverse laplace without assigning any value to the symbolic constants

inverse laplace for symbolic constants and symbolic variables

syms L1 L2 C1 C2 R Rf IL1_LT Vdc t s %symbolic constants and variables defined
assume([t L1 L2 C1 C2 R Rf Vdc] > 0);
IL1_LT = (R^2*Vdc + R*Rf*Vdc + L1*R*Vdc*s + L2*R*Vdc*s + L1*Rf*Vdc*s + L2*Rf*Vdc*s + C1*L2*R^2*Vdc*s^2 + C1*L1*L2*R*Vdc*s^3 + C2*L1*L2*R*Vdc*s^3 + C1*L1*L2*Rf*Vdc*s^3 + C2*L1*L2*Rf*Vdc*s^3 + C1*L2*R*Rf*Vdc*s^2 + C2*L1*R*Rf*Vdc*s^2 + C1*C2*L1*L2*R*Rf*Vdc*s^4)/(R*s*(R*Rf + L1*R*s + L2*R*s + L1*Rf*s + L2*Rf*s + C1*L1*L2*R*s^3 + C2*L1*L2*R*s^3 + C1*L1*L2*Rf*s^3 + C2*L1*L2*Rf*s^3 + C1*L2*R*Rf*s^2 + C2*L1*R*Rf*s^2 + C1*C2*L1*L2*R*Rf*s^4))
IL1sol = ilaplace(IL1_LT)
after runnig the code, the result that i got is:
IL1sol = (R*Vdc + Rf*Vdc)/(R*Rf) - (L1*R*Vdc*symsum(exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + L2*R*Vdc*symsum(exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + L1*Rf*Vdc*symsum(exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + L2*Rf*Vdc*symsum(exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C2*L1*R*Rf*Vdc*symsum((root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t))/(L1*R + L2*R + L1*Rf + L2*Rf + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C1*L1*L2*R*Vdc*symsum((exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C2*L1*L2*R*Vdc*symsum((exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C1*L1*L2*Rf*Vdc*symsum((exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C2*L1*L2*Rf*Vdc*symsum((exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4) + C1*C2*L1*L2*R*Rf*Vdc*symsum((exp(root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)*t)*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3)/(L1*R + L2*R + L1*Rf + L2*Rf + 2*C1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 2*C2*L1*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k) + 3*C1*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*R*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C1*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 3*C2*L1*L2*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^2 + 4*C1*C2*L1*L2*R*Rf*root(C1*C2*L1*L2*R*Rf*s3^4 + C2*L1*L2*Rf*s3^3 + C1*L1*L2*Rf*s3^3 + C2*L1*L2*R*s3^3 + C1*L1*L2*R*s3^3 + C2*L1*R*Rf*s3^2 + C1*L2*R*Rf*s3^2 + L2*Rf*s3 + L1*Rf*s3 + L2*R*s3 + L1*R*s3 + R*Rf, s3, k)^3), k, 1, 4))/Rf
i dont want to substitute any values for symbolic contant…..i want inverse laplace in general form…help me out here!

Best Answer

The result you are getting is the solution.
With some work it would be possible to transform the symsum() into an explicit expression. However, it would be quite long as it involves the roots of an order-4 polynomial.
Related Question