solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution.
On solving the given initial value problem using the method of Laplace transforms, the solution is and the corresponding graph is
The Laplace transform, is an integral transform that converts a function of a real variable usually t, the time domain to a function of a complex variable s.
Given initial value problem
Laplace Transform for the initial value problem
Equation first becomes,
The graph is given below
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