Second & Higher-Order ODEs
Homogeneous and nonhomogeneous linear equations, and the vibrating and oscillating systems they model.
Second-Order Homogeneous ODEs
Coming soonConstant-coefficient equations and the characteristic equation: real, repeated, and complex roots.
Second-Order Nonhomogeneous ODEs
Coming soonUndetermined coefficients and variation of parameters for a particular solution.
Applications of Second-Order ODEs
Coming soonSpring-mass-damper systems and RLC circuits, including free, damped, and forced response.
Higher-Order ODEs
Coming soonExtending the characteristic-equation and particular-solution methods to order three and above.