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!

AP Test Practice DE

  1. Feb 26, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider the differential equation [itex]\frac{dy}{dx}[/itex] = 2x - y

    On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated, and sketch the solution curve that passes through the point (0, 1).

    2. Relevant equations

    [itex]\frac{du}{dx}[/itex] = u where u = 2x - y

    3. The attempt at a solution

    [itex]\frac{dy}{dx}[/itex] = 2x - y

    [itex]\frac{du}{dx}[/itex] = u where u = 2x - y

    u' = 2 - [itex]\frac{dy}{dx}[/itex]


    Then what do I do? I have no clue where to go from here.
    Is this a homogeneous differential equation?

    I know what to do in regards to the rest of the problem, I just don't know how to separate so I can integrate. Do I use the substitution method or integrating factors?
     
  2. jcsd
  3. Feb 26, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    du/dx isn't equal to u. dy/dx=u. What is du/dx? Try to write the differential equation completely in terms of u instead of y. Then separate it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: AP Test Practice DE
  1. DE modeling practice (Replies: 73)

Loading...