JEE Main 2017 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 2 April 2017 (offline), Maths Q77

Question 77 of 90 in this shift, Maths question 17 of 30.

(2+\sin x)\frac{dy}{dx}+(y+1)\cos x=0

and

y(0)=1

, then

y\left(\frac{\pi}{2}\right)

is equal to :

(1) $-\frac{2}{3}$
(2) $-\frac{1}{3}$
(3) $\frac{4}{3}$
(4) $\frac{1}{3}$ Official answer

Official answer

Option 4

CBSE answer key (25/04/2017, used for result).

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Initial Value Problem

Same idea in other shifts

Asked 7× in all

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29 Jan 2024, Shift 1 · Q26If the solution curve $y=y(x)$ of the differential equation $(1+y^2)(1+\log_e x)dx+x\,dy=0$ , $x>0$ passes through the point $(1,1)$ and…MediumNumerical value
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2 Sep 2020, Shift 1 · Q63Let $y=y(x)$ be the solution of the differential equation, $\frac{2+\sin x}{y+1}\cdot\frac{dy}{dx}=-\cos x,\ y>0,\ y(0)=1$ . If $y(\pi)=a$ …MediumSingle correct

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); 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.