Deriving the spring-mass equation from Hooke's Law and Newton's Second Law

Understanding damping force in mechanical vibrations

Modeling electric circuits in series with second order DEs

Spring-mass system: finding position of a 5 kg weight at time t

Over-damped hydraulic shock with spring constant and damping fluid

Critically damped spring system with repeated roots

Solving an underdamped hydraulic shock system with complex roots

Solving an RLC circuit differential equation for charge Q(t)