Results 1 to 2 of 2

Math Help - differential equation

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    1

    differential equation

    some one please help me ive been trying to do this homework forever and i just dont know how. i have a few questions so as many that you could answer would be very helpful.

    verify the solution to the differential equation: y'' + y' + 2y=sinx, where y(x)=0.1sinx-0.3cosx.

    For the following questions you just need to gie a particular solution.

    y''' = sin(2x), y(0)=4, y'(0)=10, y''(0)= -8 ?

    square root of x * y' = 2(x^2)y - 5xy - 7y ?

    (10x^2 + 7x) / 2xy = y*y' ?

    (x^2)y^1 +(2x^3)y = 8x ?

    and lastly 2y'' +5y' - 6y = 0

    if someone could help me that be great thank you so much
    Last edited by CaptainBlack; March 22nd 2009 at 11:21 AM. Reason: it helps if the notation makes sense
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by coliechrist5 View Post
    verify the solution to the differential equation: y'' + y' + 2y=sinx, where y(x)=0.1sinx-0.3cosx.
    Differentiate y(x)=0.1 \sin(x)-0.3 \cos(x) twice and then substitute y, y' and y'' into the left hand side of the DE simplify and show that you are left with \sin(x).


    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: May 8th 2011, 12:27 PM
  2. Replies: 1
    Last Post: April 11th 2011, 01:17 AM
  3. [SOLVED] Solve Differential equation for the original equation
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: February 21st 2011, 01:24 PM
  4. Partial differential equation-wave equation(2)
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: September 6th 2009, 08:54 AM
  5. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 11:39 AM

Search Tags


/mathhelpforum @mathhelpforum