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Differential equations

  1. Apr 12, 2008 #1
    1. The problem statement, all variables and given/known data

    i want to find the solution to:
    dv/dx + 1/200 = 32/v

    2. Relevant equations



    3. The attempt at a solution

    I dont know how to begin. what would be my first step?
     
  2. jcsd
  3. Apr 12, 2008 #2

    Hootenanny

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    Can you identify which type of ODE it is? I.e. homogeneous/inhomogeneous, linear/non-linear etc.
     
  4. Apr 12, 2008 #3
    first order, linear
    isn't it?
     
  5. Apr 12, 2008 #4

    Hootenanny

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    It is indeed, so which method does one usually use for solving first order, linear ODE's?
     
  6. Apr 12, 2008 #5
    do multiply everything by v? or can we use the coefficient of v^(-1) to find the integrating factor?
     
  7. Apr 12, 2008 #6

    Hootenanny

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    I would multiply it be v first, which puts the ODE into canonical form, and then find the IF.
     
  8. Apr 12, 2008 #7
    are we allowed to have v*(dv/dx)?
    because when i did i got:

    [ve^(x/200)]dv/dx + (v/200)e^(x/200) = 32e^(x/200)

    i don't think thats right
     
  9. Apr 12, 2008 #8

    Hootenanny

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    Ohh dear, was I am thinking?! The ODE is separable, try writing the ODE in the form,

    [tex]\frac{dv}{dx}=f(v)[/tex]

    Sorry about that, I had a stupid moment :uhh:
     
  10. Apr 12, 2008 #9
    its ok i always have stupid moments.
    Thank you very much u've been much help.
     
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