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Q 4: Second Order ODEs - Coggle Diagram
Q 4: Second Order ODEs
Applications
Engineering
spring-mass system
Vehicle suspension system
Landing vehicle
Physics
Harmonic motion
RLC circuit
Resonance
Characteristics
homogeneus
forcing function = 0
Linear equation
variables with power of one
Solution
y(x) = exp(-ax)[A * exp(iwx) + B *exp(-iwx)]
Delta < 0
Complex numbers
Under damping
complex conjugate roots
Characteristic equation
Determines the nature of the solution
ar² + br + c = 0
CASE 1: delta > 0
CASE 2: delta = 0
CASE 3 delta < 0