Method of Separable Variables Q1

Method of Separable Variables Q1

Find the general solution to the differential equation \(\frac{\mathrm{d}y}{\mathrm{d}x}={{y}^{2}}\left( 2{{x}^{3}}-1 \right)\)

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Answer:\(\displaystyle -\frac1y=\frac12x^4-x+C\), with the additional constant solution \(y=0\).

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