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.