Second Order Differential Equations

A linear second order differential equation involves a function, and it's first and second derivative. It can be written as 

${A(x)y''+B(x)y'+C(x)y = D(x)}$

One important note: Linear combinations of solutions to a linear homogeneous differential equations are also solutions.

Linear

Homogeneous equations

Reducible

Characteristic Equation

Non-homogeneous equations

Undetermined Coefficients

Variation of Parameters

Systems of Equations

Elimination

Eigenvalue