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JEE • MATHEMATICS • DIFFERENTIAL EQUATIONS

Differential equations practice · Medium

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 451-452 of 452 questions

451 Medium

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Application +4 | -1

Let a solution

y=y(x)

of the differential equation

e^y d y-(2+\cos x) d x=0

satisfy

y(0)=0

then the value of

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

is equal to

View answer and explanation

Correct option: B

\ln (2+\pi)

Option B (

\ln (2+\pi)

) is correct because it is the solution to the separable differential equation with the given initial condition.

452 Medium

452 of 452

Application +4 | -1

y = y(x)

is the solution of the differential equation,

\frac{{dy}}{{dx}} + 2y\tan x = \sin x,\,y\left( {\frac{\pi }{3}} \right) = 0

, then the maximum value of the function

y(x)

over

R

is equal to:

View answer and explanation

Correct option: D

\frac{1}{8}

Option D (

\frac{1}{8}

) is correct because it represents the maximum value of the function y(x) obtained after solving the differential equation and finding the constant of integration.

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