Differential Equations Question 162

Question: Which of the following equation is linear

Options:

A) $ {{( \frac{d^{2}y}{dx^{2}} )}^{^{2}}}+x^{2}{{( \frac{dy}{dx} )}^{2}}=0 $

B) $ y=\frac{dy}{dx}+\sqrt{1+{{( \frac{dy}{dx} )}^{2}}} $

C) $ \frac{dy}{dx}+\frac{y}{x}=\log x $

D) $ y\frac{dy}{dx}-4=x $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{dy}{dx}+\frac{y}{x}=\log x $ is a linear differential equation.