Differential Equations Question 161
Question: Which of the following equation is non-linear
Options:
A) $ \frac{dy}{dx}+\frac{y}{x}=\log x $
B) $ y\frac{dy}{dx}+4x=0 $
C) $ dx+dy=0 $
D) $ \frac{dy}{dx}=\cos x $
Show Answer
Answer:
Correct Answer: B
Solution:
A differential equation in which the dependent variable and its differential coefficient occur only in the first degree and are not multiplied together is called a linear differential equation. Hence $ y\frac{dy}{dx}+4x=0 $ is non-linear differential equation.