Differentiate x^1/2[c1 J1/4(x^2/2) + c2 J-1/4(x^2/2)]

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
1 reply · 3K views
alexmahone
Messages
303
Reaction score
0
Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$.
 
Physics news on Phys.org

Discussion

Alexmahone said:
Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$.

A general formula is...

$\displaystyle J_{\nu}^{'}(x)= \frac{1}{2}\ \{J_{\nu-1}(x)-J_{\nu+1}(x)\}$ (1)

Kind regards

$\chi$ $\sigma$
 

Similar threads

Why domain and interval differ for y=x+4√(x+2)
  • find_the_fun
  • · Replies 3 ·
  • Differential Equations
Replies
3
Graduate Solve ODE: (x^2+2)y'''-(x^2+2x+2)y''+2(x+1)y'-2y=0
  • GodsmacK
  • · Replies 2 ·
  • Differential Equations
Replies
2
Solving for Complex $x$ in $(x-x^2)(1-x+x^2)^2=\dfrac{1}{7}$
  • anemone
  • · Replies 4 ·
  • Differential Equations
Replies
4
If ##x> 1## and ##x^2 <2##, prove ##x < y##, ##y^2<2##
  • issacnewton
  • · Replies 10 ·
  • Precalculus Mathematics Homework Help
Replies
10
Testing symmetry of y = x^4 - x^2 + 3 for axes and origin
  • nycmathguy
  • · Replies 2 ·
  • Precalculus Mathematics Homework Help
Replies
2
Graduate Solving Equation: ln(y)(x^4 - y^4) + ln(x)(y^4 - x^4) + (y^2 - x^2)^2 = 0
  • CIMP
  • · Replies 13 ·
  • Differential Equations
Replies
13
Graduate Steady state heat equation:-((∂^2 T)/(∂x^2 )+(∂^2 T)/(∂y^2 )=-Q(x,y)
  • range.rover
  • · Replies 2 ·
  • Differential Equations
Replies
2
Graduate Find Solution 4*(x^2)*y +y=0, y(-1)=2, y'(-1)=0
  • BobMarly
  • · Replies 5 ·
  • Differential Equations
Replies
5
Integral of 1 / (x^2 + 2) dx ?
  • askor
  • · Replies 54 ·
  • Calculus and Beyond Homework Help
2
Replies
54
I'm getting the wrong answer for the Indefinite Integral of: (x^2+2x)/(x+1)^2
  • azizlwl
  • · Replies 3 ·
  • Calculus and Beyond Homework Help
Replies
3