Laplace transform solve integral equation

[izen]

Homework Statement

Homework Equations

The Attempt at a Solution

The answer is y(t) = t^{4}+\frac{t^{6}}{30}

Don't know what to do next any advices please

 

[lurflurf]

solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}

 

[izen]

solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}

u meant put L{y} to the same side and then reverse transform? I'm try that way but still didnt get that answer

 

[izen]

solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}

Thanks lurflurf I got it now :)