Differential Equations Question 246
Question: The solution of the given differential equation $ \frac{dy}{dx}+2xy=y $ is
[Roorkee 1995]
Options:
A) $ y=c{e^{x-x^{2}}} $
B) $ y=c{e^{x^{2}-x}} $
C) $ y=ce^{x} $
D) $ y=c{e^{-x^{2}}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{dy}{dx}+(2x-1)y=0 $ ; I.F. $ ={e^{\int _{{}}^{{}}{(2x-1)dx}}}={e^{x^{2}-x}} $
Required solution is $ y{e^{x^{2}-x}}=c $ or $ y=c{e^{x-x^{2}}} $ .
BETA
