Results 1 to 3 of 3

Math Help - (lny)^2 dy/dx = x^2 * y

  1. #1
    s3a
    s3a is offline
    Super Member
    Joined
    Nov 2008
    Posts
    597

    (lny)^2 dy/dx = x^2 * y

    Question:
    Find the solution of the differential equation
    which satisfies the initial condition .
    ?

    My work:

    (My work is attached and shows where I'm stuck which is basically on the step after having evaluated the integrals)

    Any help would be greatly appreciated!
    Thanks in advance!
    Attached Thumbnails Attached Thumbnails (lny)^2 dy/dx = x^2 * y-mywork.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by s3a View Post
    Question:

    Find the solution of the differential equation

    which satisfies the initial condition .
    ?

    My work:
    (My work is attached and shows where I'm stuck which is basically on the step after having evaluated the integrals)

    Any help would be greatly appreciated!
    Thanks in advance!
    Your integrations are wrong.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member 11rdc11's Avatar
    Joined
    Jul 2007
    From
    New Orleans
    Posts
    894
    Quote Originally Posted by s3a View Post
    Question:



    Find the solution of the differential equation



    which satisfies the initial condition .
    ?

    My work:
    (My work is attached and shows where I'm stuck which is basically on the step after having evaluated the integrals)

    Any help would be greatly appreciated!
    Thanks in advance!

    \int \frac{(\ln(y))^2}{y}dy = \int x^2dx

    which turns into

     \frac{(\ln(y))^3}{3} = \frac{x^3}{3} + c
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum