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The general solution of the first order non-homogeneous linear differential equation with variable coefficients (x+1) \frac{d y}{d x}+x y=e^{-x}, \quad x>-1 \quad(x+1)
dx
dy
+xy=e
−x
,x>−1 equals
Q y=e^{-x}\left[C\left(x^{2}-1\right)+1\right]y=e
−x
[C(x
2
−1)+1], where CC is an arbitrary constant.
None of them
Q y=e^{x}\left[C\left(x^{2}-1\right)+1\right]y=e
x
[C(x
2
−1)+1], where CC is an arbitrary constant.
y=e^{-x}[C(x+1)-1]y=e
−x
[C(x+1)−1], where CC is an arbitrary constant.
y=e^{x}[C(x-1)+1]y=e
x
[C(x−1)+1], where CC is an arbitrary constant.
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