Ordinary Differential Equations

Ordinary Differential Equations

1. 1st Order

   • Integration in disguise
   • Seperable
     • Use standard form to double check
   • Linear 1st order standard form
     • In data booklet

2. 2nd Order

   • Method of undetermined coefficients
     • CF 1) Auxiliary + solve 2) CF based on roots of aux PI 3) Trial based on Q(t) 4) Differentiate twice 5) Sub into DE 6) Compare coefficients to get PI GS 7) GS= PI +CF
   • Laplace transforms
     • Residues
     • Laplace tables
       • (Partial fractions)
       • (Completing the square)