I just need help with a). Thanks

webwork.asu.edu Section 6.2 Solution of I.V.P: Problem 7 Previous Problem Problem List Next Problem (1 point) Use the Laplace transform to solve the following initial value problem: y' - 8y' + 25y=0 y(0) = 0, y'(0) =3 a. Using Y for the Laplace transform of y(t) , i.e., Y = [{y(t) }, find the equation you get by taking the Laplace transform of the differential equation b. Now solve for 3 Y(s) = $2 - 85 + 25 c. By completing the square in the denominator and inverting the transform, find y(t) = e# sin (3t)