Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

    Attached Files:

  2. jcsd
  3. Mar 18, 2014 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    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


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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


    User Avatar
    Homework Helper

    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]".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook