A homogeneous differential equation of the form
Question:

A homogeneous differential equation of the form $\frac{d x}{d y}=h\left(\frac{x}{y}\right)$ can be solved by making the substitution

A. $y=v x$

B. $v=y x$

C. $x=v y$

D. $x=v$

Solution:

For solving the homogeneous equation of the form $\frac{d x}{d y}=h\left(\frac{x}{y}\right)$, we need to make the substitution as $x=v y$.

Hence, the correct answer is C.