## gerryliyana 2 years ago Differential Equations QUIZ

1. gerryliyana

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

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

is u doing microwave engineering subject?

4. gerryliyana

i'm doing on Math Methods for physicist :)

5. ali110

oh me see bessel eq's in antenna subject and it has no proof just result

6. gerryliyana

yes.., i see :)., can u help me for this?

7. ali110

try:)actually engineering mathematics is different then general mathematics

8. gerryliyana

ok.., :)

9. gerryliyana

"how much the solution zero-order of the Bessel equations above at (n=0) in between intervals of π along the positive x axis"