Formulate a second-order ODE as a first-order system.

[MaxManus]

Homework Statement

Write (11.55) as a system of two first-order differential equations. Also set
up the initial condition for this system

Homework Equations

mu'' + f(u' ) + s(u) = F(t), t > 0, u(0) = U0, u˙ (0) = V0 .

The Attempt at a Solution

Hey, I don't know how write a system of two first-order differential equations.
I got the equation in an introduction programming class. Can someone please help me

 

[lurflurf]

let v=u'
mu'' + f(u' ) + s(u) = F(t), t > 0, u(0) = U0, u˙ (0) = V0
->
v=u',mv' + f(v ) + s(u) = F(t), t > 0, u(0) = U0, v (0) = V0

 

[MaxManus]

Thank you.