Imposing a constraint on a set of ode's

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Yazan Ahed 2016-8-29

编辑： Yazan Ahed 2017-1-8

Say I want to solve the following set of ode's:

dx_i/dt = f1(x_i,y);
dy/dt  = f2(x_i,y);

subject to: sum(a_i*x_i) = 0;

How would you code such condition?

Torsten 2016-8-29

编辑：Torsten 2016-8-29

Choose x1(0)=x2(0)=x3(0)=0 as initial conditions for x1, x2 and x3.

Then your constraint is satisfied.

And my proposition is that if

[a1 a3 a2], [a2,a1,a3] and [a3 a2 a1] are linearly independent vectors, this is the only solution.

Best wishes

Torsten.

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