Answer: In each of 12 through 15, find the solution of the given initial value problem

Chapter 3, Problem 12

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QUESTION:

In each of 12 through 15, find the solution of the given initial value problem. Sketch the graph of the solution and describe its behavior for increasing t. y__ + 4y = 0, y(0) = 0, y_(0) = 1 G

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QUESTION:

In each of 12 through 15, find the solution of the given initial value problem. Sketch the graph of the solution and describe its behavior for increasing t. y__ + 4y = 0, y(0) = 0, y_(0) = 1 G

ANSWER:

Step 1 of 4

Given initial value problem is

                             (i)

With prescribed initial condition

Equation (i) is a second order linear homogeneous ordinary differential equation.

Corresponding auxiliary equation is

                             (ii)

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