Consider the following integral equation, so called because the unknown dependent variable, yy, appears within an integral: ∫t0sin(3(t−w))y(w) dw=9t2. ∫0tsin⁡(3(t−w))y(w) dw=9t2. this equation is defined for t≥0t≥0.use convolution and laplace transforms to find the laplace transform of the solution. y(s) = l {y(t)} = b. obtain the solution y(t). y(t)=