I haven't dealt with differential equations in a while so I completely forget how to do this problem.
Given dx/dt=y and dy/dt=x
Verify that f(t)=Ce^t+De^-t and g(t)=Ce^t - De^-t give a solution to the system of differential equations, where C and D are arbitrary constants.
i apologize that i'm still stuck on this problem!
as far as verifying that the given solutions are correct - I'm sure I'm missing a simple step but I can't seem to differentiate f(t)=Ce^t+De^-t and g(t)=Ce^t-De^t to give me y and x. I'm confused as to which substitutions I need to make...