Differential Equations

Question

A homogeneous differential equation of the from $dx over dy space equals space straight h open parentheses straight x over straight y close parentheses$ can be solved by making the substitution.

y = vx
v = yx

x = vy

x = v

Solution

x = vy

A homogeneous differential equation of the from

dy over dx space equals space straight h space open parentheses straight x over straight y close parentheses

can be solved by making the substitution

straight v space equals straight x over straight y space space straight i. straight e. comma space space space straight x space equals space vy

∴ (C) is correct answer.