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!

First Order Differential Equations

  1. Jan 19, 2008 #1
    1. The problem statement, all variables and given/known data

    Solve the following differential equation:

    y' = (y/x) + (2x^3Cos(x^2)/y).

    2. Relevant equations

    3. The attempt at a solution

    You certainly can't separate variables here and you can't put it in the form in which you can find the integrating factor. This is not a Bernoulli equation and neither can it be solved by the y/x = z substitution. I am completely stumped!! Please help.
  2. jcsd
  3. Jan 19, 2008 #2
    This is a non-linear ODE. To make it linear multiply by [tex]y(x)[/tex] and observe that


    and try then the substitution [tex]y(x)^2=z(x)[/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Order Differential Equations Date
Solving 2nd order DE with initial condition Jan 17, 2018
Solving 2nd order differential equation Dec 27, 2017
Wondering if these two First Linear Order IVPs are correct Sep 29, 2017