Numerical Solution of Differential Equations

The order of an ODE is the degree of the highest derivative in that equation. x′ = ax is a first-order ODE, x′′′ − tanx′ = 2 is a third-order ODE, and the spring-mass equation above is second order. An nth-order ODE can be transformed into n first-order ODEs (an nth-order “ODE system”), and vice versa2. This

  Order, Order ode