Hi guys,
z*log(x+z)-(x*y)/z==0
When I run isolate (z), it doesn't give me an error but it doesn't give me a correct answer either. It gives me the original equation.
help me :((((
MATLAB: Unable to find explicit solution
isolate
Related Solutions
solve(8*x1 + 2*x2 + 3*x3 - 51, x1)Using chain-rule, we can write
Therefore, the equation can be written as
syms y(x) feq = diff(log(y),x)*1/diff(log(x),x) + diff(log(diff(y,x)),x)*1/diff(log(x),x) + ... diff(y,x)*1/diff(log(x),x)*log(x) + y ... == 1 + f;sol = dsolve(eq);The symbolic solution is
>> solsol = ((2*C2*x^y + C2*f*x^y - C2*x^y*y + 2*C1*x^f*x^2)/(x^y*(f - y + 2)))^(1/2) -((2*C2*x^y + C2*f*x^y - C2*x^y*y + 2*C1*x^f*x^2)/(x^y*(f - y + 2)))^(1/2)For numerical solution, try this
syms y(x) feq = diff(log(y),x)*1/diff(log(x),x) + diff(log(diff(y,x)),x)*1/diff(log(x),x) + ... diff(y,x)*1/diff(log(x),x)*log(x) + y ... == 1 + f;eq2 = odeToVectorField(eq);odeFun = matlabFunction(eq2, 'Vars', {'x', 'Y', 'f'});xspan = [0.1 10];xs = 0.1:0.001:10;fv = rand(size(xs));ffun = @(x) interp1(xs, fv, x);ic = [1; 2];[t, y] = ode45(@(x, y) odeFun(x, y, ffun(x)), xspan, ic);plot(t, y);
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