JEE MAINS PRACTICE · Mathematics
Differential Equations
836 practice questions for JEE Mains Practice — 296 easy · 374 medium · 166 hard. Every question is graded instantly with a step-by-step solution when you miss it.
Start free practice →Sample questions
MCQ
The differential equation of the family of lines passing through the origin is
MCQ
The solution of the equation $(2 y-1) d x-(2 x+3) d y=0$ is
MCQ
The general solution of $x\left(1+y^2\right)^{1 / 2} d x+y\left(1+x^2\right)^{1 / 2} d y=0$ is
MCQ
The solution of the equation $\frac{d y}{d x}=\frac{x(2 \log x+1)}{\sin y+y \cos y}$ is
MCQ
The degree of the differential equation $x=1+\left(\frac{d y}{d x}\right)+\frac{1}{2!}\left(\frac{d y}{d x}\right)^2+\frac{1}{3!}\left(\frac{d y}{d x}\right)^3+\ldots$
Numerical
Given $\frac{d y}{d x}+2 y \tan x=\sin x$ and $y=0$ for $x=\frac{\pi}{3}$. If maximum value of $y$ is $\frac{1}{k}$, then ' $k$ ' is equal to
MCQ
By eliminating the arbitrary constants $A$ and $B$ from $y=A x^2+B x$, we get the differential equation
MCQ
Integrating factor of equation $\left(x^2+1\right) \frac{d y}{d x}+2 x y=x^2-1$ is
MCQ
If the solution of the differential equation $\frac{d y}{d x}=\frac{a x+3}{2 y+f}$ represents a circle, then the value of $a$ is
MCQ
The degree and order of the differential equation of the family of all parabolas whose axis is $x$-axis, are respectively
MCQ
The degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^2=x \sin \left(\frac{d^2 y}{d x^2}\right)$ i
MCQ
The degree of the differential equation $\left[5+\left(\frac{d y}{d x}\right)^2\right]^{\frac{5}{3}}=x^5\left[\frac{d^2 y}{d x^2}\right]$ is