The curve, which satisfies the differential equation = y 2…

Maths Differential Equations General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

The curve, which satisfies the differential equation

= y 2 sin (xy) and passes through (0, 1), is given by

y (1 − − cosxy) + x = 0

sin xy − − x = 0

sin y + y = 0

cosxy − − 2y = 0

Text Solution

Verified by Experts

The correct answer is:

Differential equation can be written as

= (x dy + y dx) sin xy

or d = d (xy) sin xy

Integrating both the sides we get,

− − = − − cos xy + c ⇒ ⇒ = cos (xy) − − c.

For x = 0, y = 1, we get c = 1

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