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Differential Equations — CBSE Class 12 board PYQs

64 past board questions on Differential Equations, arranged like the paper itself — objective first, long answers last, newest year first in each section. Open any question for its complete solution.

Multiple Choice4 Qs

If $\frac{d}{d x} f (x) = 2 x + \frac{3}{x}$ and $f (1) = 1$ , then $f (x)$ is:
CBSE 2023View solution →
Degree of the differential equation $sin x + cos (\frac{d y}{d x}) = y^{2}$ is:
CBSE 2023View solution →
The integrating factor of the differential equation $(1 - y^{2}) \frac{d x}{d y} + y x = a y, (- 1 < y < 1)$ is:
CBSE 2023View solution →
The number of arbitrary constants in the particular solution of a differential equation of second order is (are):
CBSE 2020View solution →

Very Short Answer10 Qs

Short Answer2 Qs

Long Answer48 Qs