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Differential Equations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
If the lines $x+y=a$ and $x-y=b$ touch the curve $y=x^2-3 x+2$ at the points where the curve intersects the $x$-axis, then $\frac{a}{b}$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let the normal at a point $P$ on the curve $y^2-3 x^2+y+10=0$ intersect the $y$-axis at $\left(0, \frac{3}{2}\right)$. If $m$ is the slope of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $y=y(x)$ be the solution of the differential equation, $\frac{d y}{d x}+y \tan 2 x=x^2+x^2 \tan x$, $x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, such that $y(0)=1$.Then :
JEE Main Mathematics Hard
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Q JEE-MAIN 2020
Let $y=y(x)$ be the solution of the differential equation $\cos x \frac{d y}{d x}+2 y \sin x=\sin 2 x, x \in\left(0, \frac{\pi}{2}\right)$. If $...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
If the solution curve of the differential equation $\left(2 x-10 y^3\right) d y+y d x=0$, passes through the points $(0,1)$ and $(2, \beta)$, then $b$...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rectum is the distance of the point...
JEE Main Chemistry Medium
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Q JEE Main 2019
If $\frac{d y}{d x}+\frac{3}{\cos ^2 x} y=\frac{1}{\cos ^2 x}, x \in\left(\frac{-\pi}{3}, \frac{\pi}{3}\right)$ and $y\left(\frac{\pi}{4}\right)=\frac{4}{3}$, they $y\left(-\frac{\pi}{4}\right)$ equals
JEE Main Mathematics Hard
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Q JEE MAIN 2020
Let $y=y(x)$ be the solution of the differential equation, $x y^{\prime}-y=x^2(x \cos x+\sin x), x>0$. If $y(\pi)=\pi$, then $y^{\prime \prime}\left(\frac{\pi}{2}\right)+y\left(\frac{\pi}{2}\right)$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The solution of the dif ferential equation $\frac{d y}{d x}-\frac{y+3 x}{\log _e(y+3 x)}+3=0$ is (where C is a constant of integration.)
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $\frac{d y}{d x}=\frac{x y}{x^2+y^2} ; y(1)=1 ; \quad$ then a value of $x$ satisfying $y(x)=e$ is :
JEE Main Mathematics Easy
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