Flashcards in ODE Deck (4)
Loading flashcards...
1
Q
second order linear
types of RHS function
and the guess you should take for them
A
sin/cos - sum of both with constant coeffs
exponents - sum of exponents with appropriate index
polynomial - same degree poly with constant coeffs
constant - constant
mix of above - appropriate sum of mix of above
appears in solution for f(x)=0 (CF) - multiply by x
2
Q
second order linear
CF? real and distinct roots for AUX
A
y = Ae^m1x + Be^m2x
3
Q
second order linear
CF? real and repeated roots for AUX
A
y = xAe^mx + Be^mx
4
Q
second order linear
CF? complex conjugate roots for AUX
p+-qi
A
y = e^px(Acosqx + Bsinqx)