Express $y$, in terms of $x$ given that $\frac{\mathrm{d}y}{\mathrm{d}x}=xy-x$ , and $y=4$ w

Question

Express $y$, in terms of $x$ given that $\frac{\mathrm{d}y}{\mathrm{d}x}=xy-x$ , and $y=4$ when $x=0$ $2\frac{\mathrm{d}y}{\mathrm{d}x}=e^{x-2y}$ , and $y=1$ when $x=2$

Accepted Answer

$\text{(a)}\ y=3e^{x^2/2}+1$ $\text{(b)}\ y=\frac{x}{2}$

Method of Separable Variables Q11

Method of Separable Variables Q11

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