Answer

Kitonum — Tue, 17 Jan 2012 23:44:16 Z

Such non-linear systems are usually solved numerically for given values of all parameters! Note that parameter m on the right side of the first equation must be equal to 0, otherwise it would be contrary to the initial conditions.

m=0

epostma — Wed, 18 Jan 2012 21:27:35 Z

Indeed the condition m=0 is the problem here: Maple is correctly telling us that there is, in general, no solution to that combination of equations. If we substitute m = 0 in both equations, then we get the solution x(t) = y2(t) = 0 for all t. Otherwise, if we leave m symbolic as is, we can get a solution if we leave the initial condition x(0) = 0 out; it's kind of complicated so I won't include it here. Leaving out the condition y2(0) = 0 still leaves an inconsistent system.

Hope this helps,

Erik Postma
Maplesoft.

MaplePrimes - answers and comments on Question, How do I solve the following system of differential equations in Maple?

Answer

m=0