MATLAB: Solve seven nonlinear equations with seven variables in matlab

MATLABnonlinearsevenvaribales

hi, I have the following seven equations with seven varibles, I use syms to solve them
syms Eo a b t1 e1 t2 e2
ans = solve('(Eo*0.01)+(a*0.01^2)+(b*0.01^3)+(t1*e1*0.001*(1-exp(-0.1/t1)))+(t2*e2*(1-exp(-0.1/t2)))=30', ...
            '(Eo*0.02)+(a*0.02^2)+(b*0.02^3)+(t1*e1*0.001*(1-exp(-0.2/t1)))+(t2*e2*(1-exp(-0.2/t2)))=62', ...
            '(Eo*0.03)+(a*0.03^2)+(b*0.03^3)+(t1*e1*0.001*(1-exp(-0.3/t1)))+(t2*e2*(1-exp(-0.3/t2)))=86', ...
            '(Eo*0.04)+(a*0.04^2)+(b*0.04^3)+(t1*e1*0.001*(1-exp(-0.4/t1)))+(t2*e2*(1-exp(-0.4/t2)))=101', ...
            '(Eo*0.05)+(a*0.05^2)+(b*0.05^3)+(t1*e1*0.001*(1-exp(-0.5/t1)))+(t2*e2*(1-exp(-0.5/t2)))=108', ...
            '(Eo*0.06)+(a*0.06^2)+(b*0.06^3)+(t1*e1*0.001*(1-exp(-0.6/t1)))+(t2*e2*(1-exp(-0.6/t2)))=111', ...
            '(Eo*0.07)+(a*0.07^2)+(b*0.07^3)+(t1*e1*0.001*(1-exp(-0.7/t1)))+(t2*e2*(1-exp(-0.7/t2)))=111', ...
            'Eo','a','b','t1','e1','t2','e2')
I get this answer
Warning: Explicit solution could not be found. > In solve at 83 In Untitled at 5 ans = [ empty sym ]
please help!

Best Answer

There are two solution sets:
Eo = 7308.837897,
a = -111067.8168,
b = 569105.6911,
e1 = 56.07057628+300.3704267*1i,
e2 = -517.5135254,
t1 = -0.5741854156e-2+0.3075914851e-1*1i,
t2 = 0.9863006784e-1
Eo = 7308.837897,
a = -111067.8168,
b = 569105.6911,
e1 = -517513.5254,
e2 = 0.5607057628e-1+.3003704267*1i,
t1 = 0.9863006784e-1,
t2 = -0.5741854156e-2+0.3075914851e-1*1i
Related Question