Integrate
Junior Member
- Joined
- May 17, 2018
- Messages
- 129
Okay so I rewrite it as
[math]y'' + [(y')^2 - 1]y' + y = 0[/math]
So if I understand right damping is energy lost from the oscillation.
So if there is no damping there will be an infinite oscillation.
With that thinking a negative damping will cause an increasing amplitude of the sinusoid.
1.) When y'=-1,1 we get infinite oscillation.
2.) When -1 < y' < 1 we get negative damping and therefor increasing amplitude.
3.) When -1 > y' > 1 we get positive damping and therefor decreasing amplitude.
However, I just cannot understand how that relates to these graphs of this DE.
[math]y'' + [(y')^2 - 1]y' + y = 0[/math]
So if I understand right damping is energy lost from the oscillation.
So if there is no damping there will be an infinite oscillation.
With that thinking a negative damping will cause an increasing amplitude of the sinusoid.
1.) When y'=-1,1 we get infinite oscillation.
2.) When -1 < y' < 1 we get negative damping and therefor increasing amplitude.
3.) When -1 > y' > 1 we get positive damping and therefor decreasing amplitude.
However, I just cannot understand how that relates to these graphs of this DE.
