Consider the linear system of equations x' = Ax. Let x(t)=[x1(t), x2(t), x3(t)]T be the unique solution such that x(0) = v1. In the same figure, I want to plot plot each of the functions x1(t), x2(t) and x3(t). I dont think I should have to use ODE 45. I have already looked on the matlab website to no avail.
M = [7 7 7; 2 6 7; 4 3 1];B = transpose(M); A = M+B;[V,D]=eig(A);lambda1= -5.9049;v1= [-0.3429 -0.3208 0.8829];% part c
syms x(t) y(t) % I use x(t) and y(t) to represent x1' and x2'
Y = [x; y];odes = diff(Y) == A*Y %matlab keeps saying there is a problem with this line and I dont know why
[xSol(t), ySol(t)] = dsolve(odes);xSol(t) = simplify(xSol(t));ySol(t) = simplify(ySol(t));C = Y(0) == [-0.3429 -0.3208 0.8829];[xSol(t), ySol(t)] = dsolve(odes,C)clffplot(ySol)hold onfplot(xSol)grid onsavefig('symmetric.fig')
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