Second Order Differential Equations

Front 1

Two distinct real roots? (alpha and beta)

Back 1

y=Ae^alpha + Be^beta

Front 2

One repeated root? (m)

Back 2

y=(A+Bx)e^mx

Front 3

Pure imaginary roots? (+ or - ni)

Back 3

y=Acos(nx) + Bsin(nx)

Front 4

Complex roots? (p +or - qi)

Back 4

y=e^px (Acos(qx) + Bsin(qx))