a$)$ Solve $(x^2-y{x}^2)dy+(y^2-x{y}^2)dx=0$ using separation of variable method.

Selesaikan $,(x^2-y{x}^2)dy+(y^2-x{y}^2)dx=0,$ dengan menggunakan kaedah pemisahan pembolehubah.

$-\frac{1}{y}+ln|y|=\frac{1}{x}+ln|x|-l.$

$(5$ marks$/$markah$)$

b$)$ Evaluate $y(2\mathrm{.}2)$ using Euler's method from the equation $\frac{dy}{dx}=-x{y}^2$ with $y(2)=1$ by considering the value of $n$ as $4.$

Nilaikan $y(2\mathrm{.}2)$ using Euler's method from the equation $\frac{dy}{dx}=-x{y}^2$ with $y(2)=1$ by considering the iteration, $n$ as $4.$

$(7)1=0\mathrm{.}6869$

$(10$ marks$/$markah$)$