Solve the Ordinary Differential Equation y + 2y + 5y = e-t sin(t) w – McqOptions

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1.	Solve the Ordinary Differential Equation y + 2y + 5y = e-t sin(t) when y(0) = 0 and y (0) = 1.(Without solving for the constants we get in the partial fractions).
A.	(e^t [Acost+A1sint+Bcos(2t)+ frac{(B1)}{2} sin(2t)] )
B.	(e^{-t} [Acost+A1sint+Bcos(2t)+B1sin(2t)] )
C.	(e^{-t} [Acost+A1sint+Bcos(2t)+ frac{(B1)}{2} sin(2t)] )
D.	(e^t [Acost+A1sint+Bcos(2t)+(B1)sin(2t)] )
Answer» D. (e^t [Acost+A1sint+Bcos(2t)+(B1)sin(2t)] )

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