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## Main Question or Discussion Point

I have been looking though Ince (Ordinary Differential Equations), nice book.

I enjoyed solving this problem:

6) pp. 157

Integrate the system

x*x''-y*y''=0

x''+y''+x+y=0

[Edinburgh, 1909.]

we may assume x and y are twice differentiable functions

defined everywhere from reals to reals

' denotes differentiation

I would be interested in the methods used by others.

I enjoyed solving this problem:

6) pp. 157

Integrate the system

x*x''-y*y''=0

x''+y''+x+y=0

[Edinburgh, 1909.]

we may assume x and y are twice differentiable functions

defined everywhere from reals to reals

' denotes differentiation

I would be interested in the methods used by others.