Differential Equations Question 167
Question: Which of the following equation is non-linear
Options:
A) $ \frac{dy}{dx}=\cos x $
B) $ \frac{d^{2}y}{dx^{2}}+y=0 $
C) $ dx+dy=0 $
D) $ x\frac{dy}{dx}+\frac{3}{\frac{dy}{dx}}=y^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ x\frac{dy}{dx}+\frac{3}{(dy/dx)}=y^{2} $
Therefore $ x{{( \frac{dy}{dx} )}^{2}}-y^{2}\frac{dy}{dx}+3=0 $
Hence it is a non-linear differential equation.
BETA
