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
Show Answer
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}} $ .