I m trying to solve homogeneous linear system equations X = K exp (Lamda (t))

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Emad Saad
Emad Saad on 2 Nov 2021
Commented: Emad Saad on 2 Nov 2021
why this code does not work for me
clear All
syms x(t) y(t)
A =[-4 1 1;1 5 -1;0 1 -3]
Y = [x(t); y(t)];
Y
odes = diff(Y) == A * Y
[xSol(t),ySol(t)] = dsolve(odes);
xSol(t) = simplify(xSol(t))
ySol(t) = simplify(ySol(t))

Accepted Answer

Paul
Paul on 2 Nov 2021
It doesn't work because A is a 3 x 3 matrix, but Y is only 2 x 1, so A*Y doesn't make sense. Maybe you meant to include a third state variable?
syms x(t) y(t) z(t)
A =[-4 1 1;1 5 -1;0 1 -3]
A = 3×3
-4 1 1 1 5 -1 0 1 -3
Y = [x(t); y(t);z(t)];
Y
Y = 
odes = diff(Y) == A * Y
odes = 
[xSol(t),ySol(t),zSol(t)] = dsolve(odes);
xSol(t) = simplify(xSol(t))
xSol(t) = 
ySol(t) = simplify(ySol(t))
ySol(t) = 
zSol(t) = simplify(zSol(t))
zSol(t) = 

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