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: Simple Differential Equation

  1. Oct 7, 2014 #1
    1. The problem statement, all variables and given/known data

    The problem is Solve the following differential equation: dy/dx = 6*x*y/(3-x^2)

    2. Relevant equations

    Okay so I know the first step is integrating both sides and separating the variables

    3. The attempt at a solution

    So separating the variables and integrating I get integral of \int y*dy \ = integral of
    \int (6x)/(3-x^2) \, dx

    Using substation for the the x variable I get -3ln(-x^2+3) +c and for the y variable as just y(x).

    Now after this what is the next step. Should i rewrite the log natural as 1/(x^2-3)^2?
  2. jcsd
  3. Oct 7, 2014 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Stop - you are there. Put LHS = RHS.
    But ##\int y\;dy \neq y##
  4. Oct 7, 2014 #3


    Staff: Mentor

    Separate the variables first before integrating.
    Check your algebra. The left side is NOT y * dy.
    You have a mistake in here as well.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted