Converting y'' + y' - 2y = 0 into a system using substitution

  • Context:
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Ivp Second order
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
source

Change the second-order IVP into a system of equations
$y''+y'-2y=0 \quad y(0)= 2\quad y'(0)=0$

let $u=y'$

ok I stuck on this substitution stuff
 

Discussion

Physics news on Phys.org
Since y'= u, y''= u' so y''+ y'- 2y= u'+ u- 2y= 0 so u'= 2y-u.