Solving Indefinite Integral: Approach and Techniques

[nissan4l0]

Homework Statement

Solve the indefinite integral

Homework Equations

$$\int\frac{dy}{y(1-y)}$$

How do I best approach this problem? I have been stuck for hours!

 

[Cyosis]

Use partial fractions. That is write 1/(y(1-y)) as:

$$\frac{a}{y}+\frac{b}{1-y}$$

and determine the constants a and b.

 

[nissan4l0]

Ok, thank you! I am taking a differential equations class but I have forgotten about the method of partial fractions. I will relearn it, and I will post my solution shortly.