Differential Equations Question 123

Question: Differential equation whose solution is $ y=cx+c-c^{3} $ , is

[MP PET 1997]

Options:

A) $ \frac{dy}{dx}=c $

B) $ y=x\frac{dy}{dx}+\frac{dy}{dx}-{{( \frac{dy}{dx} )}^{3}} $

C) $ \frac{dy}{dx}=c-3c^{2} $

D) None of these

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Answer:

Correct Answer: B

Solution:

Differentiating, we have $ \frac{dy}{dx}=c $

Hence differential equation is, $ y=x\frac{dy}{dx}+\frac{dy}{dx}-{{( \frac{dy}{dx} )}^{3}} $ .