Suppose y=y(x) be the solution curve to the differential equation… - Vidyadip

MCQ

Suppose $y=y(x)$ be the solution curve to the differential equation $\frac{d y}{d x}-y=2-e^{-x}$ such that $\lim _{x \rightarrow \infty} y(x)$ is finite. If $a$ and $b$ are respectively the $x-$ and $y$-intercepts of the tangent to the curve at $x=0$, then the value of $a-4 b$ is equal to$....$

A
$6$
B
$2$
C
$3$
D
$0$

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