Question

DE question help.

Answer 1

I've tried subbing and using the Product Rule here but I cannot get answer in the form the question asks.

Answer 2

\[x^2y\frac{\text dy}{\text dx}=y^2+xy^2+x^2\]

Answer 3

Yea, I let y=zx and using the product rule to get x*dz/dx+z and sub it into original equation.

Answer 4

ok lets do this

Answer 5

i hope it is clear best of luck for rest of your studies

Answer 6

\[x^2y\frac{\text dy}{\text dx}=y^2+xy^2+x^2\]\[\frac{\text dy}{\text dx}=\frac y{x}+y+
\frac xy\]\[z=\frac yx\qquad y=xz\qquad\frac{\text dy}{\text dx}=z+xz'\]
\[z+xz'=z+xz+\frac 1z\]\[xz'=xz+\frac 1z\]\[z'=z+\frac1{xz}\]