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

  • Thread starter MaxManus
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  • #1
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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
 

Answers and Replies

  • #2
lurflurf
Homework Helper
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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
 
  • #3
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Thank you.
 

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