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

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ck00
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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?:smile:
 
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but can't you make a second order diff eq into a sysytem by letting v=y'?
 
algebrat said:
but can't you make a second order diff eq into a sysytem by letting v=y'?

um...then what is y?
 
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.