Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. dx/dt = 5x-y dy/dt = 4x+5y
Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.