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} $

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Answer:

Correct Answer: A

Solution:

I.F. $ ={e^{\int _{{}}^{{}}{p.dx}}} $

Therefore $ {e^{\int _{{}}^{{}}{\frac{1}{x}dx}}}={e^{{\log _{e}}x}}=x $ .