Show that the change of variables V=xy transforms the DE (dy)/(dx)=(y)/(x)F(xy) into the sepa
Question: Show that the change of variables \(V=xy\) transforms the DE
\[\frac{dy}{dx}=\frac{y}{x}F\left( xy \right)\]into the separable DE
\[\frac{1}{V\left[ F\left( V \right)+1 \right]}\frac{dV}{dx}=\frac{1}{x}\](b) Use the above result to solve
\[\frac{dy}{dx}=\frac{y}{x}\left[ \ln \left( yx \right)-1 \right]\]
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See Answer: The solution consists of 2 pages
Deliverables: Word Document![](/images/msword.png)
Deliverables: Word Document
![](/images/msword.png)