Use variation of parameters to find a particular solution of y" - y = 1/e^x + e^-x.

Step-by-step explanation:

Given:

First we will find homogeneous solution:

Let be the solution of equation

we get,

. Since , we will solve equation:

We get homogeneous solution as

For particular solution:

On comparing with , we get

Particular solution is of form .

Here,

Let

we get,

So, we get particular solution as:

Therefore, solution is

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