System of differenital equations with odesolve

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System of differenital equations with odesolve - Sabaism - 01-26-2024 08:10 AM

Dear community,

I want to solve a system of differential equations numerically by using the odesolve command.
I think it should be possible, but I am not able to figure out the correct syntax to do so.
By searching the web I have found the following example:

Code:

DE1:=diff(y1(x),x)=y2(x)

DE2:=diff(y2(x),x)=-y1(x)

IC1:=y1(0)=1

IC2:=y2(0)=0

odesolve({DE1,DE2},{y1(x),y2(x)},{IC1,IC2},x)

However, I know the {} cannot be correct, so I replaced them with [], but it does not work either.
Could somebody please give me a hint to solve this.

Thank you in advance.
Best wishes,
Jo

RE: System of differenital equations with odesolve - parisse - 01-27-2024 08:36 PM

Here is an example:

Code:

f(t,v):=[-v[2],v[1]];

odesolve(0..pi,f,[0,1])

The second argument of odesolve must be a function of the time variable and of a vector, returning a vector of the same vector space.