Question

Find the general solution of the following differential equation by using the method of undetermined
coefficients for obtaining the particular solution.

y''-y'-2y=2sin(x) - 3e^(-x)

Answer 1

asmar 3 en Ame: yl-yl- ay- foncton Comalimently y'l-y-2y = 2 D D - 2 - 0 02-20+ 0-2-0 DCD-2) + (0-2)=0 D= 2 0:-\ 22 2 yo Gie t Cze forbarticular Intrigal -a 3 e 2 Sima (02-0-2) asma 3e-> (82_0-2) (152-0-2) p2 put 2Sina = -1 (032-0-2) -2. } Sima? 1) 2Sina -D-2-1 (C+3)

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50 e 27 cie Je + ca % + cosa - 3 sma} are t olds Ang