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Solve the differential equation or initial-value problem using the method of undetermined coefficients.

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Solve the differential equation or initial-value problem using the method of undetermined coefficients.

asked Feb 18, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :

The differential equation is image

 image

The auxiliary equation is image.

Find the roots of the auxiliary equation.

The roots of the auxiliary equation .

The complementary solution is

Step 2 :

Find the particular solution.

The particular solution is of the form .

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Substitute and in equation (1).

The particular solution is .

The general solution is .

Solution :

The general solution is .

answered Feb 21, 2015 by Thomas Apprentice

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