Find the solution of the differential equation \(\frac{dy}{dx}+2y=1\)�

1.	Find the solution of the differential equation \(\frac{dy}{dx}+2y=1\) such that y(0) = 0.
A.	\(\frac{1-~{{e}^{-2x}}}{2}\)
B.	\(\frac{1+~{{e}^{-2x}}}{2}\)
C.	y = 1 + ex
D.	\(\frac{1-{{e}^{-x}}}{2}\)
Answer» B. \(\frac{1+~{{e}^{-2x}}}{2}\)

Discussion

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