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DiffEq order question

  1. Jan 20, 2010 #1
    I need to classify a bunch of differential equations and this one has me stuck...


    Would this be zeroth order? Or should I just call it a quadratic equation?

    Also, I need to identify the homogeneous parts of these equations. I know what a homegeneous diffeq is, but how would I identify the homogeneous part of a non-homogeneous equation?

    2(dx/dt) +3x+1=4t

    Would the homogeneous part just be: 2(dx/dt)+3x?


    answer: 2sin(dx/dt)+3x?

    I'm stuck, any help would be a huge help.
    Last edited: Jan 20, 2010
  2. jcsd
  3. Jan 20, 2010 #2


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    I wouldn't call it a differential equation but I suppose you could consider it a zeroth order. I certainly wouldn't call it a quadratic.
    I am guessing you are talking about the homogeneous part of the solution. The general solution of a NH linear DE is y = yc + yp where cc is the general solution to the homogeneous equation and yc is a particular solution to the NH equation.
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