# Is there any book talking about system of 2nd order ODE?

1. Jun 2, 2012

### ck00

I got trouble in dealing with this kind of system. For example,
Ay+By`+Cy=0
where y=transpose(y1 y2)
A=(1 0
0 1)
B=(0 1
1 0)
C=(1 1
1 1)

May someone give me a book name?

2. Jun 2, 2012

### algebrat

but can't you make a second order diff eq into a sysytem by letting v=y'?

3. Jun 4, 2012

### ck00

um...then what is y?

4. Jun 4, 2012

5. Jun 4, 2012

### theorem4.5.9

If you just want a book, Strogatz Nonlinear Dynamics and Chaos is very good.
this links supports PF

It's mainly a book on systems of ODEs and explains what algebrat mentioned.