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 15× in all

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27 Jan 2024, Shift 1 · Q13Let $x=x(t)$ and $y=y(t)$ be solutions of the differential equations $\dfrac{dx}{dt}+ax=0$ and $\dfrac{dy}{dt}+by=0$ respectively,…MediumSingle correct
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
13 Apr 2023, Shift 1 · Q14Let $y=y_1(x)$ and $y=y_2(x)$ be the solution curves of the differential equation $\frac{dy}{dx}=y+7$ with initial conditions $y_1(0)=0$ …EasySingle correct
26 Jun 2022, Shift 1 · Q30Let $S = (0, 2\pi) - \left\{\frac{\pi}{2}, \frac{3\pi}{4}, \frac{3\pi}{2}, \frac{7\pi}{4}\right\}$ . Let $y = y(x)$ , $x \in S$ , be the…HardNumerical value
29 Jun 2022, Shift 2 · Q9If $y = y\,(x)$ is the solution of the differential equation $\left(1 + e^{2x}\right)\frac{dy}{dx} + 2\left(1 + y^2\right)e^x = 0$ and…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 108 of the 174 JEE Main shifts held from 2017 to 2026.