Consider the nonhomogeneous linear equation

We have seen that the general solution is given by

,

where is a particular solution and is the general solution of the associated homogeneous equation. We will not discuss the case of non-constant coefficients. Therefore, we will restrict ourself only to the following type of equation:

Using the previous section, we will discuss how to find the general solution of the associated homogeneous equation

Therefore, the only remaining obstacle is to find a particular
solution to (*NH*). In the second order differential equations case, we
learned the two methods: **
Undetermined Coefficients Method** and the **
Variation of Parameters**. These two methods are still valid in the
general case, but the second one is very hard to carry.

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