Answer: In each of 1 through 8: a. Find the solution of the given initial value problem

Chapter 6, Problem 5

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QUESTION:

In each of 1 through 8: a. Find the solution of the given initial value problem. G b. Plot a graph of the solution.y__ + y = (t 2 ) cos t; y(0) = 0, y_(0) = 1

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QUESTION:

In each of 1 through 8: a. Find the solution of the given initial value problem. G b. Plot a graph of the solution.y__ + y = (t 2 ) cos t; y(0) = 0, y_(0) = 1

ANSWER:

Step 1 of 4

Consider the given expression:

Taking the Laplace transform of the equation and use the given initial conditions,

                                 

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