# What's the difference between these two D.E?

1. Nov 27, 2005

### asdf1

for
1. x(x-1)y+(3x-1)y+y=0
2. (x^2 -x)y-xy+y=0
those are 2 examples of the frobenius method, but i don't understand why those 2 use completely different methods to solve...

2. Nov 27, 2005

### Tide

What methods were used to solve each of them?

3. Nov 29, 2005

### asdf1

the first used the method of variation of parameters, and the second one
supposed that y2=cy1 and differentiated that and subsituted y2, y` and y into the original equation...

4. Nov 29, 2005

### matt grime

Firstly, can you stop calling DEs frobenius: they are not. Frobenius refers to the use of a power series solution for DEs, there are different ways to work out what that power series is.