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 $

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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.