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

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))

Answer 1

[Paul]

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) = 

[Emad Saad]

Thanks for helping me

appreciate your help