1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: Second order ode with non constant coeffcients

  1. Feb 26, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex] y''(x)-k y^2 y'(x)=0 [/tex]


    3. The attempt at a solution

    mathematica gives me this:

    [tex]\left\{\left\{y(x)\to\text{InverseFunction}\left[-\frac{2\sqrt{3}\tan^{-1}\left(\frac{1}{\sqrt{3}}-\frac{2\sqrt[3]{k}\text{$\#$1}}{3^{5/6}\sqrt[3]{c_1}}\right)-2\log\left(3^{2/3}\sqrt[3]{k}\text{$\#$1}+3\sqrt[3]{c_1}\right)+\log\left(\sqrt[3]{3}k^{2/3}\text{$\#$1}^2-3^{2/3}\sqrt[3]{k}\sqrt[3]{c_1}\text{$\#$1}+3c_1^{2/3}\right)}{23^{2/3}\sqrt[3]{k}c_1^{2/3}}\&\right]\left[x+c_2\right]\right\}\right\}[/tex]

    yes something so ugly and long that i broke the latex parser on the website. so how do i solve this? i have no idea where to begin because none of the methods in my ODE book talk about function with coeffIcients like that [itex]x^2[/itex]
     
    Last edited: Feb 26, 2008
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Loading...