1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ordinary Differential Equations

  1. Jan 9, 2013 #1
    1. The problem statement, all variables and given/known data

    y = 2xy' + y(y')2; y2 = C1 (x + C1 /4)

    2. The attempt at a solution

    I thought that I could take the first equation and set it equal to zero. But the C1 in the second equation is throwing me off.

    Am I supposed to set the second equal to C1?
    Last edited: Jan 9, 2013
  2. jcsd
  3. Jan 9, 2013 #2


    User Avatar
    Science Advisor

    Are you saying that you want to show that [itex]y= \pm\sqrt{C_1(x+ \frac{C_1}{4})}[/itex] satisfies [/itex]y= 2xy'+ y(y')^2[/itex]?

    Just find the derivative of y and plug it into the equation.
  4. Jan 9, 2013 #3
    Sorry the second equation is y2, but I think I see what you are saying.
  5. Jan 9, 2013 #4


    User Avatar
    Science Advisor

    Yes, that's why I took the square root to get y.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook