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3.1.1 - y'' + 9y = 0 - Coggle Diagram
3.1.1 - y'' + 9y = 0
Second order differential equation
Harmonic Oscillator
Spring mass System
Simple pendulum
Clock
Molecular vibration
Second law of motion
Wave equation
De Boer-Ludford equation
Thomas–Fermi equation
Coefficients
Constant coefficients
Exponential response formula
Painlevé I transcendent
Ivey's equation
Variable Coefficients
Hard to solve
Airy's equation
Ordinary
Bellman's equation
Blasius equation
Van der Pol equation
Partial
Euler equations
Richards Equation
Damping
Overdamping
R > 2 sqrt(L/C)
2 Real Roots
Critical damping
R = 2 sqrt(L/C)
2 Equal Real Roots
Underdamping
R < 2 sqrt(L/C)
2 Complex Roots
No damping
R = 0