# Laplace transform solve integral equation

#### izen

1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution

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

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#### lurflurf

Homework Helper
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 :)