Answer to Question #47324 in Differential Equations for Petrus Amutana

Question

4. (a) Find the Laplace transformation of f(t) = e^-2t(3 cos 6t – 5 sin 6t).
(b) Use Laplace transformation, solve
y′′(t) – 3y′(t) + 2y(t) = 44^2t , y(0) = -3, y′(0) = 5

5. (a) Solve the initial value problem using Laplace transform y′(t) = 3, y(0) = 5.
(b) Solve the non-homogeneous equation y′′ + 9y = -4x sin 3x