The general solution of (x ^ { 2 } \frac { d y } { d x } = 2... | MATH - VARIABLE SEPARABLE TYPE DIFFERENTIAL EQUATIONS | SolveeIt | Solveeit

Today, August 23

Question

The general solution of $x ^ { 2 } \frac { d y } { d x } = 2$ is

A

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

B

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

C

$y = 2 c x$

D

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

Answer

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

Explanation

Solution

$\frac { d y } { d x } = \frac { 2 } { x ^ { 2 } }$ ⇒ $d y = \frac { 2 } { x ^ { 2 } } d x$ , Now integrate it.