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Question Number 129034 by oustmuchiya@gmail.com last updated on 12/Jan/21

$$Differentiate\mathit{s}\mathit{i}\mathit{n}\mathit{y}-{\mathit{x}}^2{\mathit{y}}^3-\mathit{c}\mathit{o}\mathit{s}\mathit{x}=3\mathit{y}$$

Answered by MJS_new last updated on 12/Jan/21

$$(\cos y-3x^2{y}^2)dy+(-2{xy}^3+\sin x)dx=3dy$$$$\Rightarrow$$$$\frac{dy}{dx}=\frac{\sin x-2{xy}^3}{3x^2{y}^2+3-\cos y}$$

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