Question

Questions Attached

Answer 1

\[\huge 2xy+x^2 \frac{dy}{dx}-2y\frac{dy}{dx}=0 \]
\[\huge 2xy+(x^2-2y)\frac{dy}{dx} =0\]
\[\huge -\frac{2xy}{x^2-2y} = \frac{dy}{dx}\] OR
\[\huge \frac{2xy}{2y-x^2}=\frac{dy}{dx} \]

Answer 2

For second one
\[\huge y^B+xBy^{B-1} \frac{dy}{dx}-\frac{dy}{dx} = 1\]
\[\huge y^B+(xBy^{B-1}-1)\frac{dy}{dx}=1\]
\[\huge \frac{1-y^B}{xBy^{B-1}-1} = \frac{dy}{dx}\]