JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q87

Question 87 of 90 in this shift, Maths question 27 of 30, Section B.

If the solution

y = y(x)

of the differential equation

\left(y + 3x^4\right)\frac{dx}{dy} = x,\ x > 0

, satisfies

y(1) = -1

, then the value of

\frac{d^2y}{dx^2} - \frac{dy}{dx} + y

x = 2

\underline{\hspace{2em}}

Official answer

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Linear in x Form

Same idea in other shifts

Asked 3× in all

8 Apr 2023, Shift 2 · Q28Let the solution curve $x = x(y)$ , $0 < y < \frac{\pi}{2}$ , of the differential equation…HardNumerical value
24 Jun 2022, Shift 1 · Q14If $x=x(y)$ is the solution of the differential equation $y\frac{dx}{dy}=2x+y^3(y+1)e^y,\ x(1)=0$ ; then $x(e)$ is equal to :MediumSingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.