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acceleration , x double dot
= -w^2 x
acceleration, x double dot also written as
v dv/dx
Damped harmonic motion equation
Has dx/dt term
Equal to 0
Heavy damping
Auxiliary equation has distinct real roots
Critical damping
Auxiliary equation has equal roots
Light damping
Auxiliary equation has no real roots
Forced harmonic motion equation
Non-homogenous
Equal to a function of t
Coupled first-order differential equations are only homogenous if
+f(t) or +g(t) equal to 0
Note 
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