Solve the initial value problem using Laplace transforms.
Here
Solve the initial value problem using Laplace transforms.
Here
Given differential equation
Here
To find: Solve the initial value problem using Laplace Transform
We begin with taking Laplace transformation on both sides,
Note:
Substitute in the equation,
We begin with finding the Laplace for RHS,
Now, use the conditions given,
Now , find inverse Laplace transform
Note:
Find: