Method of Separable Variables Q3

Method of Separable Variables Q3

Find the general solution to the differential equation \(\frac{\mathrm{d}y}{\mathrm{d}x}={{y}^{2}}\left( {{x}^{2}}-\sin x \right)\)

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Answer:\(y=0\) \(\text{or}\quad -\frac{1}{y}=\frac{x^3}{3}+\cos x+C\)

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