Answer: In each of 4 through 9, find the general solution of the given differential

Chapter 3, Problem 4

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QUESTION:

In each of 4 through 9, find the general solution of the given differential equation. In 9, g is an arbitrary continuous function y__ + y = tan t, 0< t < /2

Questions & Answers

QUESTION:

In each of 4 through 9, find the general solution of the given differential equation. In 9, g is an arbitrary continuous function y__ + y = tan t, 0< t < /2

ANSWER:

Step 1 of 4

Consider the given differential equation.

                                                                   

Here, .

The corresponding homogeneous equation is,

                                                                   

Write the characteristic equation and find the roots as follows.

                                                                    

The homogeneous solution is given by,

                                                                

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