Write ft in terms of the heaviside step function ulowast

Question

1. Solve the following initial value problem, using Laplace Transforms.

9y'' - 8y' - y = 10e^t

           y(0)  = -4

           y'(0) = -3

2. The function f is defined piecewise:

Write f(t) in terms of the Heaviside (step) function u∗, and then solve the following initial value problem using Laplace Transforms:

Y'(t) = f(t)

y(0) = 0

Answer 1

The topic is on Laplace transform have many questions on it solve each question properly 1. Answer the subsequent initial value problem, using Laplace Transforms. 9y'' - 8y' - y = 10et y(0) = -4 y'(0) = -3 2. The function f is described piecewise: Make f(t) in terms of the Heaviside (step) function u*, and then solve the subsequent initial value problem using Laplace Transforms: Y'(t) = f(t) y(0) = 0