Find the general solution for the following system:
dx/dt = 3x - y
dy/dt = 9x - 3y
Please see the attached file.
This is a typical problem for repeated eigenvalues. To make sure you understand the theory, I have included a reference which has very nice explanation of this.
In general, a repeated value problem will have a general solution of the form:
Original equation ...
The solutions provides detailed explanations on system of Linear Differential Equations and the required calculations.