- #1
The-Mad-Lisper
- 12
- 1
Homework Statement
[tex]\frac{dy}{dx}=y^2-1[/tex]
[tex]y(0)=3[/tex]
Homework Equations
[tex]\frac{dy}{dx}=f(y) \leftrightarrow \frac{dx}{dy}=\frac{1}{f(y)}[/tex]
The Attempt at a Solution
[tex]\frac{dx}{dy}=\frac{1}{y^2-1}[/tex]
[tex]dx=\frac{dy}{y^2-1}[/tex]
[tex]\int dx=\int \frac{dy}{y^2-1}+C[/tex]
[tex]x=\int \frac{dy}{y^2-1}+C[/tex]
How do I integrate [itex]\int \frac{dy}{y^2-1}[/itex]?