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: About simple first order differential equation

  1. Mar 24, 2012 #1
    1. The problem statement, all variables and given/known data
    dy/dx = (3x^2+4x+2)/2(y-1) , y(0)=1

    2. Relevant equations

    3. The attempt at a solution
    I get the answer and the steps are shown:

    2(y-1)dy=(3x^2+4x+2)dx and integrate both sides
    By initial condition, c=-1 and by solving for y,
    y = 1±√(x^3+2x^x+2x) (x>0)

    But i do not understand why x≥0 isn't the answer. If it is because of y≠1 (x=0 when y=1) by the equation above, then why does initial condition hold true?
  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