$\"\"$

The diffrential equation is $\"\"$ .

A First order seperable ordinary diffrential equation has the form of $\"\"$ .

Where $\"\"$ and $\"\"$ .

$\"\"$ .

If $\"\"$ then $\"\"$ .

Apply integration on each side of the equation. \ \

$\"\"$ . \ \

Consider $\"\"$ .

Apply integration by parts : $\"\"$ . \ \

Where $\"\"$ . \ \

$\"\"$

Solve : \ \

$\"\"$ \ \

$\"\"$ .

$\"\"$

$\"\"$ . \ \