$Ordinary$ $differential$ $equations$

Ordinary differential equations

Ordinary differential equations

Order

Degree

Formulation of differential equation 

Solution of differential equation

Types of solutions

IVP & BVP

Trajectories

Wronskian

Types of ordinary differential equations

• First order and first degree ordinary differential equations

First order and first degree ordinary differential equations

Exact ordinary differential equations

• Non-linear ordinary differential equations 

Differential equations of first order & higher degree

Singular solution

Solvable for x

Solvable for y

Solvable for p

• Linear ordinary differential equations 

Linear ordinary differential equations

Linear ordinary differential equations of first order

Linear ordinary differential equations of higher order with constant coefficients

Equations reducible to linear ordinary differential equations

Homogeneous linear ordinary differential equation

Equations reducible to homogenous

Linear ordinary differential equations of second order with variable coefficients

• Simultaneously ordinary differential equation of first order

Methods of solving ODEs

Separation of variables

Power series method 

Method of variation of parameter

Laplace transformation method

Special ordinary differential equations

Bessel’s ordinary differential equation

Legendre’s ordinary differential equation