Second Order Equations-Constant Coefficient Homogeneous Basic: Problem 8

(1 point)

For this problem, you do not need to get the coefficient of y" to be 1.

(a) Find the general solution to 2y" - 3y - 27y= 0. In your answer, use A and B to denote arbitrary constants and t the independent variable.

(b) Find the particular solution that satisfies y(0) = -12 and y'(0) = 13.5.