The general solution of x^2 dy dx = 2 is - Vidyadip

MCQ

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

A
$y = c + \frac{2}{x}$
✓
$y = c - \frac{2}{x}$
C
$y = 2cx$
D
$y = c - \frac{3}{{{x^2}}}$

✓

Answer

Correct option: B.

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

b
(b) $\frac{{dy}}{{dx}} = \frac{2}{{{x^2}}}$ ==> $dy = \frac{2}{{{x^2}}}dx$,

Now integrate it.

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