Imagine a fictitious universe where springs want to stretch: the spring force is proportional to, and in the same direction as, displacement from equilibrium. We'll call these anti-springs.
(a) Set up a differential equation modeling the motion of a damped anti-spring if the mass is m = 1 kg...
Hi guys, so I have this system of linear equations:
x' = -3x - 1y
y' = 3x - 7y
And I'm supposed to decouple them by this linear change of variables:
z = Ax + By
w = Cx + Dy
I'm supposed to find values for A, B, C, and D and I have no idea where to begin. Can anyone walk me through...