Differential Equations Question 28

Question: The solution of $ \frac{dy}{dx}=\frac{1}{x} $ is

Options:

A) $ y+\log x+c=0 $

B) $ y=\log x+c $

C) $ {y^{\log x}}+c=0 $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{dy}{dx}=\frac{1}{x} $ .

On integrating, we get $ y=\log x+c $ .