View source for Solve Differential Equation by means of Separating Variables

==Examples==
Ex1 <math> {dy \over dx} = {x^2 \over y^2}</math>

<math> y^2 * dy = x^2 * dx</math>

<math>{\int y^2 * dy } = { \int x^2 * dx}</math>

<math>{\int y^2 * dy } = { y^3 \over 3}</math>

<math>{ \int x^2 * dx} = { x^3 \over 3}</math>

But one side of the equation needs to add a constant c.

<math>{ y^3 \over 3} = { x^3 \over 3} + c</math>

<math> y^3  = x^3  + 3c</math>

constant times 3 will still be constant so 3c-> c.

<math> \sqrt[3] {y^3}.  = \sqrt[3] {x^3  + c}</math>



Ex2 y' = xy
<math> {dy \over dx} = xy</math>

<math> dy = xy * dx</math>

<math> {dy \over y} = x * dx</math>

<math>\int {1 \over y} dy = \int x * dx</math>

<math>\int {1 \over y} dy = ln|y|</math>

<math> \int x * dx = {x^2 \over 2} + c</math>
==reference==
https://www.youtube.com/watch?v=C7nuJcJriWM&list=PLEjLk3Wl8akWPgisw-u9jrmdN67dgPibe&index=33