What does steady state and transient solution mean? I want a good explanation; no copy/paste answer

Question

amistre64 · Answer

when things are steady they vary very littlely

when things are transient they move alot

anonymous · Answer

How does that relate to differential equation?

amistre64 · Answer

.... dunno yet :)

anonymous · Answer

Inhomogeneous ay'' + by' +cy = m cos (omega x) + n sin (omega x) (a,b,c positive).

The complementary function decays to 0 as x increases and is called a transient solution.

For x big enough, any solution is close to the unique purely sinusoidal particular solution, which is called the steady state solution.