Solving Non-Homogeneous DE with constant coefficients_method of undetermined coefficients

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NON-HOMOGENEOUS SECOND-ORDER ODE WITH CONSTANT COEFFICIENTS

The general form of a non-homogeneous second-order differential equation is

where a, b, and c are constants.

PROCEDURES TO SOLVE THE NON-HOMOGENEOUS SECOND-ORDER DIFFERENTIAL EQUATION

METHOD OF UNDETERMINED COEFFICIENTS

In this course, we will consider f(x) from any of the following functions:

In this course, we will consider f(x) from any of the following functions:

In this course, we will consider f(x) from any of the following functions:

In this course, we will consider f(x) from any of the following functions:

In this course, we will consider f(x) from any of the following functions:

EXAMPLE 1

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EXAMPLE 2

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EXAMPLE 3

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