Method of Separable Variables Q2
Method of Separable Variables Q2
Find the general solution to the differential equation \(\left( 3{{x}^{2}}-2x-1 \right)\frac{\mathrm{d}y}{\mathrm{d}x}=y\left( 3x-1 \right)\)
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Answer:\(y=0\) \(\text{or}\quad y=A\sqrt{|3x^2-2x-1|},\ A\ne0,\quad x\ne-\frac13,1\)
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