Forms of Second Order Differential Equations Flashcards
1
Q
To distinct, real roots a and b
A
y = Ae^ax + Be^bx
2
Q
One repeated root m
A
y = (A + Bx)e^mx
3
Q
Pure imaginary roots +-ni
A
y = Acosnx + Bsinnx
4
Q
Complex roots p+-qi
A
y = e^px (Acosqx + Bsinqx)
