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gerryliyana

Differential Equations QUIZ

  • one year ago
  • one year ago

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  1. gerryliyana
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    a bessel equation \[y'' + \frac{ 1 }{ x }y' + \left( 1-\frac{ n^{2} }{ x^{2} } \right)y = 0\] . Use the transformation y = v x^(-0.5) and prove that the Bessel Differential Equations can be transformed into \[v'' + \left( 1-\frac{ 4n^{2}-1 }{ 4x^{2} } \right)v = 0\] My Questions is: When compared with the equation of \[u'' + u = 0\] which has the solution u= sin x, to Bessel differential equations above and to the condition of n=0, at least there is a how to order solutions zero-order Bessel equation of the differensial (n = 0) in between intervals of \(\pi\) along the positive x axis

    • one year ago
  2. gerryliyana
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    i mean., how much is the solution zero-order of the Bessel equations above at (n=0) in between intervals of \(\pi\) along the positive x axis

    • one year ago
  3. ali110
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    is u doing microwave engineering subject?

    • one year ago
  4. gerryliyana
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    i'm doing on Math Methods for physicist :)

    • one year ago
  5. ali110
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    oh me see bessel eq's in antenna subject and it has no proof just result

    • one year ago
  6. gerryliyana
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    yes.., i see :)., can u help me for this?

    • one year ago
  7. ali110
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    try:)actually engineering mathematics is different then general mathematics

    • one year ago
  8. gerryliyana
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    ok.., :)

    • one year ago
  9. gerryliyana
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    "how much the solution zero-order of the Bessel equations above at (n=0) in between intervals of π along the positive x axis"

    • one year ago
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