# Basic Algebra Troubleshoot

1. Nov 30, 2009

### andrew.c

1. The problem statement, all variables and given/known data

I'm doing an ODE problem, and I have a set of solutions for it, but I do not understand how

$$\frac{y+1}{y-1} = Cx^2$$

can equal

$$y = \frac{1+Cx^2}{1-Cx^2}$$

Many Thanks!

2. Nov 30, 2009

### Staff: Mentor

The basic technique is to multiply both sides by y - 1, then move all terms in y to one side and all other terms to the other side and solve for y.

For this problem, though, I get y = (Cx^2 + 1)/(Cx^2 - 1), which is different from what you showed.