# Euler substitution

From Conservapedia

When given a differential equation of the form:

,

you can utilize **Euler substitution** by assuming . This yields:

Substituting back in, this yields:

Dividing through by ,

Then, perform the quadratic formula. There are three cases that arise:

**Case I: When ,**

**Case II: When ,**

and ,

**When Case III: ,**