In: Math
(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2
−4s + 6
(b) Solve the initial value problem using the method of Laplace
transform. d^2y/dx^2 −7dy/dx + 10y = 0, y(0) = 0, dy/dx(0) =
−3.
(c) Solve the initial value problem:
1/4(d^2y/dx^2)+dy/dx+4y = 0, y(0) = −1/2,dy/dx(0) = −1.