(1 point) Use the LaPlace transform to solve the following initial value problem: b. Now solve...

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(1 point) Use the LaPlace transform to solve the following initial value problem: b. Now solve for Y(s) = y" + 6y' = 0. a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation 0=0 C. y(0) = -3, y'(0) = -2 A Write the above answer in its partial fraction decomposition, Y(s) = s+a Y(s) = 0 + 0 d. Now by inverting the transform, find y(t) 0 + B s+b where a < b (1 point) Use the LaPlace transform to solve the following initial value problem: b. Now solve for Y(s) = y" + 6y' = 0. a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation 0=0 C. y(0) = -3, y'(0) = -2 A Write the above answer in its partial fraction decomposition, Y(s) = s+a Y(s) = 0 + 0 d. Now by inverting the transform, find y(t) 0 + B s+b where a < b