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Flashcards in ODE Deck (4)
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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)