Recent content by leyyee

  1. L

    Graduate Multicurrency decision - statistics.

    question chapter 4 case 6 - from book "complete business statistics 6th edition-aczel and amir" A company sells machines to four customers in four different countries. It has to be sell two months from now. The following is a table of information of selling price, exchange rate. The selling...
  2. L

    Graduate How to prove bessel function J1/2(x) = sqrt(2/πx)sinx;

    thanks for the advice.. i have got the solutions.. thanks
  3. L

    Graduate How to prove bessel function J1/2(x) = sqrt(2/πx)sinx;

    with that Γ(n+1/2 + 1 ) am I able to simplify it to sinx ?
  4. L

    Graduate How to prove bessel function J1/2(x) = sqrt(2/πx)sinx;

    the whole thing will become this . but how does it simplify to sinx? J_m(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{2^{1/2+2n}n!(n+1/2)!}x^{1/2+2n} = x^1/2 \sum_{n=0}^{\infty} \frac{(-1)^n}{2^{1/2+2n}n!(n+1/2)!}(x^2)^n i mean how to simplyfy the (n+1/2)!. thanks
  5. L

    Graduate How to prove bessel function J1/2(x) = sqrt(2/πx)sinx;

    I really have no idea. I started with the frobenius method. Until the recurrence formula. I got that already. But I just don't know where to plug in the 1/2 into the equation. Can anyone help? I just need to know where to put in the 1/2? Or can i use the normal bessel function which in...
    • leyyee
    • Thread
    • Bessel Bessel function Function
    • Replies: 5
    • Forum: Calculus
  6. L

    5th order DE with g(x)=32exp^(2x)

    Wow.. thanks a lot.. I think I will post the proper solutions after I finished the steps ok ? and I will let you go through my answer to see whether I did any mistakes.. Thanks
  7. L

    5th order DE with g(x)=32exp^(2x)

    hey there, i have tried out your attempt.. but I only can find the general solutions the wronskians i found was -4, am I in the right path ? u(x) = uh(x) + up(x) = C1e2x+C2e-2x+8xe2x-2e2x how should I convert it to y(x) = yh(x) + yp(x) If i use the equation u gave me u = y(3). Am I suppose...
  8. L

    5th order DE with g(x)=32exp^(2x)

    hey there. thanks a lot for the reply.. i will try out your attempt.. then i will post if i need anymore help.. thanks
  9. L

    5th order DE with g(x)=32exp^(2x)

    Homework Statement Use variations of parameters to find the general solutions of the following differential equations. y'''''-4y'''=32exp^(2x) Homework Equations no relevant equations. The Attempt at a Solution hey there, I tried solving this question. I got the homogeneous equation...
  10. L

    Graduate A sliding block - what's wrong with my arguement

    hey I just tried the question.. But I m stuck on the first equation.. anyone would like to enlightene on the working? Thx
  11. L

    Calculating Mass of the Moon with Apollo 11 Data

    thanks then I think I got of correct d.. Thanks..
  12. L

    Calculating Mass of the Moon with Apollo 11 Data

    is the semi major axis the radius for the r^3 in the kepler's thrid law? I use the (1861+1838)/2 is correct that this is the value for r? 1849.5? thank for replying..
  13. L

    Projectile Motion in Bigger Radius.

    hey unscientific as I know that from the lecturer it is a round number.. Could it be I have done wrong somewhere? I got the same answer as well but I just want to confirm again? Anyone else might want to try to help me? Thanks..
  14. L

    Block slides from rest from the top of a fixed frictionless sphere

    YEAh. THANK YOU!
  15. L

    Calculating Mass of the Moon with Apollo 11 Data

    Homework Statement Before landing men on the moon, Apollo 11 space vehicle was put into orbit about the moon. The mass of the vehicle was 9979kg and the period of the orbit was 119 min. The maximum and minimum distances from the center of the moon were 1861 km and 1838km . Assuming the moon...