Solving the Bassel Equation for V=1/2: Step-by-Step Guide

  • Thread starter Thread starter sirvics
  • Start date Start date
sirvics
Messages
1
Reaction score
0

Homework Statement



Solve The Bassel Equation for the case V=1/2?
Use the multiplication u=√x y . (the root covers only the x)
Please help. i need detail solution

Homework Equations





The Attempt at a Solution


 
Physics news on Phys.org
Sorry. PF is not a homework service. Make an attempt at a solution and you might get some feedback.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
Replies
7
Views
2K
How should I show that ## B ## is given by the solution of this?
Replies
2
Views
1K
Solve the given second order differential equation
Replies
14
Views
1K
Solving the wave equation with piecewise initial conditions
Replies
11
Views
2K
Why can't a critical point of a system of DEs be complex?
Replies
27
Views
2K
Proof by Induction: Explaining Step 3 to 4 | Math Homework
Replies
2
Views
2K
Vector Calculus: Change of Variables problem
Replies
3
Views
1K
Solving equations for Eigenvector: Vanishing
Replies
5
Views
5K
How should I show that all solutions of this equation are bounded?
Replies
4
Views
2K
Homogeneous Differential Equation
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top