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Differential Equations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2021_
If $f(x)=\sin \left(\cos ^{-1}\left(\frac{1-2^{2 x}}{1+2^{2 x}}\right)\right)$ and its firs t derivative with respect to $x$ is $-\frac{b}{a} \log _e 2$ when $x=1$, where $a$ and...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let a curve $y=y(x)$ be given by the solution of the differential equation $$ \cos \left(\frac{1}{2} \cos ^{-1}\left(e^{-x}\right)\right) d x=\sqrt{e^{2 x}-1} d y $$ If...
JEE Main Mathematics Hard
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Q JEE MAIN_2021_
Which of the following is true for y (x) that satisfies the differential equation
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let C 1 be the curve obtained by the solution of differential equation $2 x y \frac{d y}{d x}=y^2-x^2, x>0$. Let the curve $C_2$ be...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $y=y(x)$ satisfies the equation $\frac{d y}{d x}-|A|=0$, for all $x>0$ where $...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $y=y(x)$ is the solution of the differential equation $\frac{d y}{d x}+(\tan x) y=\sin x, 0 \leq x \leq \frac{\pi}{3}$, with $y(0)=0$, then $y\left(\frac{\pi}{4}\right)$ equal...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
If a curve $y=f(x)$ passes through the point $(1,2)$ and satisfies $x \frac{d y}{d x}+y=b x^4$, then for what value of $...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let $f$ be a twice differentiable function defined on $R$ such that $f(0)=1, f^{\prime}(0)=2$ and $f^{\prime}(x) \neq 0$ for all $x \in R$. If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The differential equation satisfied by the system of parabolas $y^2=4 a(x+a)$ is :
JEE Main Mathematics Easy
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Q JEE-MAIN 2021
Let the curve $y=y(x)$ be the solution of the differential equation, $\frac{d y}{d x}=2(x+1)$. If the numerical value of area bounded by the curve $y=y(x)$...
JEE Main Mathematics Easy
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