Results 1 to 2 of 2

Math Help - Help with simple derivation

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    10

    Help with simple derivation

    Hello!

    Can anyone assist me in the step by step derivation from
    B_n \cdot sinh(4\lambda_n) = \frac{2}{J_1^2(2\lambda_n)} \int_{0}^{2}\frac{r}{2}J_0(\lambda_n r)f(r)d\left(\frac{r}{2}\right)<br />

    to B_n=\frac{u_0}{\lambda_n \cdot sinh(4\lambda_n) \cdot J_1(2\lambda_n)}

    with f(r)=u_o

    Not too sure how it works. Thanks!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,356
    Thanks
    36
    Quote Originally Posted by wenzhe2092 View Post
    Hello!

    Can anyone assist me in the step by step derivation from
    B_n \cdot sinh(4\lambda_n) = \frac{2}{J_1^2(2\lambda_n)} \int_{0}^{2}\frac{r}{2}J_0(\lambda_n r)f(r)d\left(\frac{r}{2}\right)<br />

    to B_n=\frac{u_0}{\lambda_n \cdot sinh(4\lambda_n) \cdot J_1(2\lambda_n)}

    with f(r)=u_o

    Not too sure how it works. Thanks!!
    This should get you going

     <br />
\int r J_0(\lambda r)\, dr =\frac{r\,J_1(\lambda r)}{\lambda} + c<br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simple Harmonic Motion Derivation of frequency
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 10th 2011, 09:38 PM
  2. Simple vector calculus derivation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 19th 2010, 02:54 AM
  3. Simple derivation in first order predicate logic
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: February 21st 2010, 01:40 PM
  4. A very annoying and simple logic derivation problem.
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: January 14th 2009, 08:01 PM
  5. Just a simple derivation question.
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 28th 2008, 07:41 PM

Search Tags


/mathhelpforum @mathhelpforum