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gerryliyana

  • 3 years ago

Differential Equations QUIZ

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  1. gerryliyana
    • 3 years ago
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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

  2. gerryliyana
    • 3 years ago
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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

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

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

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

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

  7. ali110
    • 3 years ago
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    try:)actually engineering mathematics is different then general mathematics

  8. gerryliyana
    • 3 years ago
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    ok.., :)

  9. gerryliyana
    • 3 years ago
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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"

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