Find the particular solution satisfying the given condition $$\dfrac{dy}{dx}= sin^2 y$$

Asked by Sakshi | 1 year ago |  47

##### Solution :-

From the question it is given that,

$$\dfrac{dy}{dx} = sin^2 y$$

By cross multiplication,

$$\dfrac{ dy}{sin^2 y} = dx$$

We know that,

$$\dfrac{1}{sin x}= cosec x$$

cosec2 y dy = dx

Integrating on both side, we get,

$$∫cosec^2 y dy = ∫dx + c$$

– cot y = x + c

Answered by Aaryan | 1 year ago

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