Question

What replacement obtains the final answer after using a homogeneous substitution?

Options

• Replace \[v\] by \[\frac{y}{x}\] or \[\frac{x}{y}\].

• Replace \[v\] by \[\lambda^{n}\].

• Replace \[v\] by \[x+y\].

• Replace \[v\] by \[\frac{dy}{dx}\].

Answer 1

The final answer must be expressed in the original variables. Thus \[v\] is replaced by \[\frac{y}{x}\] for \[y=vx\], or by \[\frac{x}{y}\] for \[x=vy\].