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CGP EDU Academic Team
Published on: August 14, 2026
If the solution of the differential equation y 3 x 2 cos (x 3 )dx + sin (x 2 )y 2 dy = 
dx is 2 sin (x 3 )y 2 = x 2 + C (where C is an arbitrary constant), then the value of k is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
: 3
The given equation is
y 3 • (3x 2 cos (x 3 )dx) + sin (x 3 ) (3y 2 dy) = xdx
d (sin (x 3 ).y 3 ) = xdx
On integrating, we get,
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