Differential Equations Question 295
Question: Integrating factor of $ \frac{dy}{dx}+\frac{y}{x}=x^{3}-3 $ is
[MP PET 1999]
Options:
A) $ x $
B) $ \log x $
C) $ -x $
D) $ e^{x} $
Show Answer
Answer:
Correct Answer: A
Solution:
I.F. $ ={e^{\int _{{}}^{{}}{p.dx}}} $
Therefore $ {e^{\int _{{}}^{{}}{\frac{1}{x}dx}}}={e^{{\log _{e}}x}}=x $ .