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CGP EDU Academic Team
Published on: August 13, 2026
The solution of the differential equation y (sin 2 x)dy + (sin x cos x)y 2 dx = xdxis (where C is the constant of integration)
Text Solution
Verified by ExpertsThe correct answer is:
B
sin 2 x-y 2 = x 2 + C
The given equation is (sin 2 x) (2ydy) + (2 sin x cos xdx)y 2 = 2xdx
or d (sin 2 x.y 2 ) = 2xdx
On integrating, we get
sin 2 x.y 2 = x 2 + C
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