Consider the following integral equation, so called because the unknown dependent variable, $y$, appears within an integral: This equation is defined for $t \geq 0$.

1. Use convolution and Laplace transforms to find the Laplace transform of the solution.

$\displaystyle Y(s) = {\mathcal L}\left\lbrace y(t) \right\rbrace =$

2. Obtain the solution $y(t)$.

$y(t) =$