Differential Equations Question 331

Question: The general solution of $ x^{2}\frac{dy}{dx}=2 $ is

[AISSE 1984]

Options:

A) $ y=c+\frac{2}{x} $

B) $ y=c-\frac{2}{x} $

C) $ y=2cx $

D) $ y=c-\frac{3}{x^{2}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{dy}{dx}=\frac{2}{x^{2}} $

Therefore $ dy=\frac{2}{x^{2}}dx $ , Now integrate it.