Consider the following integral equation, so called because the unknown dependent variable,y

y, appears within an integral:

?

t

0

sin(2(t?w))y(w)dw=4t

2

.

?0tsin?(2(t?w))y(w)dw=4t2.

This equation is defined fort?0

1. t?0.Use convolution and Laplace transforms to find the Laplace transform of the solution.
3. Y(s)=L{y(t)}=
4. Y(s)=L{y(t)}=
6. Obtain the solutiony(t)
7. y(t).
9. y(t)=
10. y(t)=

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