Question: How do I solve the following system of differential equations in Maple?

January 17 2012 johnnyV 5
Maple 15
0

Hello,

I'm trying to solve the following system in Maple but it doesn't show me any solution:

2*(1-a1^2)*x(t)*y2(t) - 2*k*(1-a1*a2)*(x(t)^2)=m

k*diff(x(t),t)-diff(y2(t),t)=x(t)(m/2-1)+y2(t)

where x(0)=0 and y2(0)=0 , k>0, a1 and a2 are between -1 and 1, and m is a constant.

I tried with the command  >dsolve({equation1, equation2, x(0)=0,y2(0)=0},{x(t), y2(t)}) but it shows me no answer.

Could somebody help me, please?

Thank you in advance!

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