Find the general solution of each of the following differential equations expressing your answers in

Question

Find the general solution of each of the following differential equations expressing your answers in terms of $y$. $\frac{\mathrm{d}y}{\mathrm{d}x}+2y-3=y^{2}$ $(x^{2}-1)\frac{\mathrm{d}y}{\mathrm{d}x}=xy$

Accepted Answer

$\text{(a)}\ y=1+\sqrt2\tan(\sqrt2x+B),\ B\in\mathbb{R}$ $\text{(b)}\ y=A\sqrt{|x^2-1|},\ A\in\mathbb{R}$

Method of Separable Variables Q9

Method of Separable Variables Q9

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