System of first order differential equations
I'm having trouble solving this system of de's using eigenvalues and eigenvectors,
where the initial conditions are; x(0)=3 and y(0)=-4
I went through to calculate the eigenvalues and vectors to be;
and v1 = [1 , -i/2]
hence v2 = [1 , i/2]
Using this the general solution should be ?
x(t) = C1 . [1 , -i/2] + C2 . [1 , i/2]
where C1 & c2 are complex constants.
have i done this right so far?
To get the actual solution with the initial conditions i'm a bit confused can anyone help me here?