The solution of the differential equation sin ⁡ y e x d x - e x cos ⁡ y d y = s i n 2 y d x is (where, c is an arbitrary constant)

Question

The solution of the differential equation sin ⁡ y e x d x - e x cos ⁡ y d y = s i n 2 y d x is (where, c is an arbitrary constant), e x s i n y = x + c, e x = x + c sin ⁡ y, e x ⋅ x = sin ⁡ y + c, e x ⋅ sin ⁡ y = x 2 + c

MARKS App · Accepted Answer

Given equation is sin ⁡ y · e x d x - e x cos ⁡ y d y s i n 2 y = d x ⇒ d e x sin ⁡ y = d x On integrating, we get e x s i n y = x + c or e x = x + c sin ⁡ y

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