Question

A homogenous differential equation of the form $\frac{dy}{dx}=h(\frac{x}{y})$ can be solved by making the substitution

• A. $y=vx$
• B. $v=yx$
• C. $x=vy$
• D. $x=v$

Answer 1

Answer: (C)

$x=vy$

Answer 2

The correct answer is C:$x=vy$
For solving the homogenous equation of the form $\frac{dx}{dy}=h(\frac{x}{y})$,we need to make the substitution as $x=vy$
Hence,the correct answer is C.