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Differential equations help

  1. Mar 18, 2014 #1
    Hi, this question came up in my midterm and I was hoping to know if this is the correct method or answer.
     

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  3. Mar 18, 2014 #2

    SteamKing

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    What do your trusty differentiation skills tell you? Where did f(x) come from?
     
  4. Mar 18, 2014 #3
    this is my answer, I am just not sure if it is correct.
     
  5. Mar 18, 2014 #4
    It's correct, I think.
     
  6. Mar 18, 2014 #5

    PeroK

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    Does that mean that you don't know how to differentiate the function you've found and check whether it satisfies the original equation?
     
  7. Mar 18, 2014 #6

    pasmith

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    You know you're immediately going to integrate with respect to [itex]x[/itex], so you can conserve symbols by writing "[itex]u_x = \dfrac{(\frac 23 t^3 + t)}{1 + x} + f'(x)[/itex] for an arbitrary differentiable [itex]f(x)[/itex]".
     
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