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JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 26 July 2022, Shift 2, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Suppose

y=y(x)

be the solution curve to the differential equation

\frac{dy}{dx}-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-4b

is equal to _________.

Official answer

3

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Asymptotic Behavior of LDE Solutions

Same idea in other shifts

Asked 2× in all

9 Apr 2024, Shift 2 · Q26For a differentiable function $f:\mathbb{R}\to\mathbb{R}$ , suppose $f'(x)=3f(x)+\alpha$ , where $\alpha\in\mathbb{R}$ , $f(0)=1$ and…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.