Differential Equations Question 353
Question: The solution of the equation $ (1+x^{2})\frac{dy}{dx}=1 $ is
Options:
A) $ y=\log (1+x^{2})+c $
B) $ y+\log (1+x^{2})+c=0 $
C) $ y-\log (1+x)=c $
D) $ y={{\tan }^{-1}}x+c $
Show Answer
Answer:
Correct Answer: D
Solution:
$ (1+x^{2})\frac{dy}{dx}=1 $
Therefore $ \frac{dy}{dx}=\frac{1}{1+x^{2}} $
On integrating, $ y={{\tan }^{-1}}x+c $ .
BETA
