← CBSE Class 12 PYQ

Differential Equations

CBSE Class 12 · Mathematics · 31 past questions

18 of 31 · show all

Q2 2026

The order and degree of the differential equation $\frac{d}{dx}(e^y) = 0$ respectively are
Q3 2026

Find the general solution of the following differential equation…
Q5 2026

The integrating factor of the differential equation $2x\frac{dy}{dx} - y = 3$ is
Q6 2026

(a) Solve the following differential equation…
Q7 2026

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q9 2025

The integrating factor of differential equation $(x + 2y^3)\frac{dy}{dx} = 2y$ is
Q10 2025

If p and q are respectively the order and degree of the differential equation…
Q11 2025

Solve the differential equation $2(y+3) - xy\frac{dy}{dx} = 0$; given $y(1) = -2$.
Q12 2025

The order and degree of the differential equation…
Q13 2024

The integrating factor of the differential equation $(1 - x^2)\frac{dy}{dx} + xy = ax$, $-1 < x < 1$, is…
Q18 2024

The differential equation $\frac{dy}{dx}=F(x,y)$ will not be a homogeneous differential equation, if $F(x,y)$…
Q20 2024

Find the particular solution of the differential equation given by $2xy + y^2 - 2x^2\frac{dy}{dx} = 0$…
Q23 2023

Find the general solution of the differential equation…
Q26 2023

Find the particular solution of the differential equation…
Q28 2023

The integrating factor of the differential equation…
Q29 2023

Find the general solution of the differential equation : $(xy - x^2)\,dy = y^2\,dx$.
Q30 2022

Find the sum of the order and the degree of the differential equation…
Q31 2022

Find the particular solution of the differential equation $x\frac{dy}{dx}+x\cos^2\left(\frac yx\right)=y$…