Results 1 to 3 of 3

Math Help - Find general solution

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    132

    Find general solution

    Find the general solution of
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by matty888 View Post
    Find the general solution of
    You are starting to annoy me...you have posted like 12 questions...didnt thank those who helped you..and most of all you havent even tried to answer it yourself...if you show some work I will help you
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member flyingsquirrel's Avatar
    Joined
    Apr 2008
    Posts
    802
    Hi

    First, solve the homogeneous equation \frac{\mathrm{d}^2y}{\mathrm{d}x^2} +4 \frac{\mathrm{d}y}{\mathrm{d}x} +3y=0. It implies : writing the characteristic equation and finding its root. Then, using these roots, you can deduce an expression of the solution y_h.
    Then, find a particular solution y_p of \frac{\mathrm{d}^2y}{\mathrm{d}x^2} +4 \frac{\mathrm{d}y}{\mathrm{d}x} +3y=2\exp(-3x). It can be achieved by showing that y_p(x)=\lambda \exp(-3x) is a solution for some value of \lambda. (usually, if the second member is a polynomial of \exp x searching for a particular solution of this form works well)

    The solution of the complete equation will be the sum y_h+y_p.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find the general solution for...
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: November 5th 2011, 06:00 AM
  2. Find the general solution
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: September 25th 2011, 08:15 AM
  3. Find General Solution?
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: August 29th 2010, 08:20 AM
  4. find the general solution when 1 solution is given
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: March 4th 2009, 09:09 PM
  5. find the general solution ODE pls help
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 24th 2008, 01:55 PM

Search Tags


/mathhelpforum @mathhelpforum