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Question: Solve x'=Ax with initial conditions using DEtools

Question:Solve x'=Ax with initial conditions using DEtools

num211 20 Maple
matrix ode detools differential-equations matrixde
January 23 2020
4

I want to solve x'(t)=A(t)x(t)+b(t) for given A, b, and intital conditions x(0).

I want to use matrixDE from the package DEtools. (I know there are probably other ways but this would be the most convenient way for further tasks).

My question is: How can I specify the initial values using matrixDE?

 

A:=Matrix(2,2,[1,-2,4,-5])

b:=Matrix(2,1,[3,7])

sol:=matrixDE(A,b,t)

 

 

For dsolve we have

dsolve({ode,ics})

 

But what about matrixDE?

 
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