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Please solve this problem below and write the steps out as simple as possible. Problem: Find...

Please solve this problem below and write the steps out as simple as possible.

Problem: Find both a particular solution yp ( via the method of educated guess) and a general solution y to the following: y'' + 4y' - 5y = cos(x)

PLEASE DO NOT answer this question if you do not get the exact answer below.

Ans is yp(x) = 1/13*sin(x) - 3/26*cos(x) and y(x) = 1/13*sin(x) - 3/26*cos(x) + C1*e^x + C2*e^-5x

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