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Differential Equations question

2022 · 26 Jul · Shift 2 · Q37

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JEE Main
Mathematics
Differential Equations
2022 · 26 Jul · Shift 2 · Q37

Differential Equations question

2022 · 26 Jul · Shift 2 · Q37

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Suppose

y=y(x)

be the solution curve to the differential equation

\frac{d y}{d x}-y=2-e^{-x}

such that

\lim\limits_{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

\underline{\hspace{2cm}}

.

Numerical answer

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