If $\frac{dx}{dy}=\frac{1+x-y^2}{y}$, $x(1)=1$, then $5x(2)$ is equal to ________.

JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 1 February 2024, Shift 2, Maths Q27

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

\frac{dx}{dy}=\frac{1+x-y^2}{y}

x(1)=1

, then

5x(2)

is equal to ________.

Official answer

NTA final key.

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

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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.