# Laplace transform solve integral equation

1. Feb 20, 2013

### izen

1. The problem statement, all variables and given/known data

2. Relevant equations

3. 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

2. Feb 20, 2013

### lurflurf

solve algebraically for L{y}

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

3. Feb 20, 2013

### izen

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

4. Feb 20, 2013

### izen

Thanks lurflurf I got it now :)

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