# Power Series Solutions for Non-Homogeneous Differential Equations:Y" - Y = x & Y' + Y =e^x

**Question description**

Solve using the Power Series Method. Show all Steps.
Power Series Solutions for Non-Homogeneous Differential Equations:
Y" - Y = x
and the second one is:

Y' + Y = e^x

These are two different questions. Here is an example of how these questions have to be approached. Here, For Y'' - XY' - 4Y= e^x

C_2= 1/(2!) + C_0(4)/(1)(2) => just plugging 0 for n in this step, and so on.

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