Question

Solve by method of undetermined coefficients y'' + y' = 9 - e^(-x) + x^(2)sin(x)

Solve by method of undetermined coefficients

y'' + y' = 9 - e^(-x) + x^(2)sin(x)

Math   Advanced-Math   
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Homework Answers

Answer #1

is the equation

The homogeneous equation has the solution

The general form of the particular solution must be

So that

Comparing coefficients, we must have

And so

So particular solution is

So the general solution is

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