Suppose one sets a system of differental equations in vector form, say 2 ODE's, like this:
Then to solve these, what would be an easy way to do it, without having to rewrite them again manually as a set, as what one would normally do. Clearly one needs to map dsolve, and also convert the vectors to a set somewhere? I am not able to get the syntax right.
Is there an easy way to automatically convert/rewrite the above to
ode2:= diff(x(t),t)=2*x(t)+y(t) , diff(y(t),t)=3*y(t)-x(t);
so that I can just do
Or, a way to map dsolve directly into the first from as shown?( the Vector = Vector form).