JEE MAINS PRACTICE · Mathematics
Differential Equations
414 practice questions for JEE Mains Practice — 223 easy · 183 medium · 8 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The equation of the curve through the point $(1,0)$, whose slope is $\frac{y-1}{x^2+x}$, 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 solution of the differential equation $\sqrt{a+x} \frac{d y}{d x}+x y=0$ is
MCQ
The solution of differential equation $d y-\sin x \sin y d x=0$ is
MCQ
The solution of the equation $(2 y-1) d x-(2 x+3) d y=0$ is
MCQ
Order and degree of a differential equation $\frac{d^2 y}{d x^2}=\left\{y+\left(\frac{d y}{d x}\right)^2\right\}^{1 / 4}$ are
MCQ
The degree of the differential equation $x=1+\left(\frac{d y}{d x}\right)+\frac{1}{2!}\left(\frac{d y}{d x}\right)^2+\frac{1}{3!}\left(\frac{d y}{d x}\right)^3+\ldots$
MCQ
The order of the differential equation whose general solution is given by $y=\left(C_1+C_2\right) \cos \left(x+C_3\right)-C_4 e^{x+C_5}$ where, $C_1, C_2, C_3, C_4, C_5$ are arbitrary constants, 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 $\left[5+\left(\frac{d y}{d x}\right)^2\right]^{\frac{5}{3}}=x^5\left[\frac{d^2 y}{d x^2}\right]$ is
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 solution of differential equation $\left(e^x+1\right) y d y=(y+1) e^x d x$ is