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Question
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Solution
We have,
\[\frac{dy}{dx} = \sin^2 y\]
\[ \Rightarrow \frac{dx}{dy} = \frac{1}{\sin^2 y}\]
\[ \Rightarrow dx = {cosec}^2 y dy\]
Integrating both sides, we get
\[\int dx = \int {cosec}^2 y dy\]
\[ \Rightarrow x = - \cot y + C\]
\[ \Rightarrow x + \cot y = C\]
\[\text{ Hence, }x + \cot y = \text{ C is the required solution }.\]
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