OSU Math 256

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Author:
Rayen
ID:
46555
Filename:
OSU Math 256
Updated:
2010-11-01 17:31:42
Tags:
Osu Math
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Description:
For the 2nd midterm
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  1. conjecture
    A guess
  2. Linear Second order ordinary Differential equation
    ay''+by'+cy = g(t)
  3. ay''+by'+cy = 0
    • is a constant constant coefficent
    • a,b,c are real numbers not variables
  4. The equation is called homogeneous when g(t)
    If g(t) =0
  5. The equation is called inhomogeneous when g(t)
    if g(t) != 0
  6. y'' + ry' = 0
    • u = y'
    • u' = y''

    u' + ru = 0

    • y = ce-rt
    • y' = - re-rt
    • y'' = -r2e-rt

    How do we check

    plug and check

    • (y'') + r(y') = 0
    • (-r2e-rt) + r(-re-rt) = 0
  7. ay''+by'+cy = g(t)
    (ar2+br+c)e-rt

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