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

\[\frac{dy}{dx}=\frac{y}{x}\left[ \ln \left( yx \right)-1 \right]\]
Price: $2.99
See Answer: The solution consists of 2 pages
Deliverables: Word Document

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