Methods in Differential Equations

d/dx (f(x)y)

f(x)dy/dx + f'(x)y

1 of 5

Integrating factor of dy/dx + P(x)y = Q(x)

e^∫P(x)dx

2 of 5

General solution to homogenous second order differential equation when b^2 > 4ac

y = Ae^αx + Be^βx

3 of 5

General solution to homogenous second order differential equation when b^2 = 4ac

y = (A + Bx)e^αx

4 of 5

General solution to homogenous second order differential equation when b^2 < 4ac

y = e^px(Acosqx + Bsinqx)

(where p+/-iq are roots)

5 of 5

Other cards in this set

Integrating factor of dy/dx + P(x)y = Q(x)

e^∫P(x)dx

General solution to homogenous second order differential equation when b^2 > 4ac

General solution to homogenous second order differential equation when b^2 = 4ac

General solution to homogenous second order differential equation when b^2 < 4ac

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