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 \to \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 _________. [26-Jul-2022-Shift-2]

Differential Equations Part 2

Section: Mathematics

Question : 71 of 100

Marks: +1, -0

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

−y=2−e−x such that

lim

x→∞

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−4b is equal to _________.

[26-Jul-2022-Shift-2]

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