Question

Given: The following boundary value problem:    y"+ lamda*y = 0;                0 < x...

Given: The following boundary value problem:

   y"+ lamda*y = 0;                0 < x < 2;         y(0) = 0;          y’(2) = 0

  1. Find corresponding eigenvalues, (lamda)n and normalized eigenfunctions yn
  2. Expand the function f(x) = x, in terms of the eigen functions obtained in (i)
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a)Find the eigenvalues and eigenfunctions of the Sturm-Liouville system y"+ lamda y = 0 y(0) =...
a)Find the eigenvalues and eigenfunctions of the Sturm-Liouville system y"+ lamda y = 0 y(0) = 0 y'(1) = 1 I got y=x and y=sin((sqrt k)x)/((sqrt k) cos(sqrt k)) Please do b (b) Show that the eigenfunctions Yn and Ym you obtained from the above are orthogonal if n not= m.
Find the eigenvalues and eigenfunctions of the Sturm-Liouville system y"+ lamda y = 0 y(0) =...
Find the eigenvalues and eigenfunctions of the Sturm-Liouville system y"+ lamda y = 0 y(0) = 0 y'(1) = 1 (b) Show that the eigenfunctions Yn and Ym you obtained from the above are orthogonal if n not= m.
find the eigenvalues and eigenfunctions for the given boundary-value problem. y'' + (lambda)y = 0, y(-pi)=0,...
find the eigenvalues and eigenfunctions for the given boundary-value problem. y'' + (lambda)y = 0, y(-pi)=0, y(pi)=0 Please explain where alpha = (2n+1)/2 comes from in the lambda>0 case. Thank you!!
Find all eigenvalues and corresponding eigenfunctions for the following boundary value problem (x^2)y'' + λy =...
Find all eigenvalues and corresponding eigenfunctions for the following boundary value problem (x^2)y'' + λy = 0, (1 < x < 2), y(1) = 0 = y(2) and in particular the three cases μ < 1/2, μ = 1/2, and μ > 1/2 associated with the sign and vanishing of the discriminant of the characteristic equation
Consider the boundary value problem below (assume λ > 0): y ′′ + λy = 0...
Consider the boundary value problem below (assume λ > 0): y ′′ + λy = 0 y(0) = 0 y ′ (π) = 0 Find the eigenvalues and the associated eigenfunctions for this problem. Show all work.
obtain the green's function for the boundary value problem y''+y = f(x), y(0)=y(1)=0
obtain the green's function for the boundary value problem y''+y = f(x), y(0)=y(1)=0
Consider the boundary value problem y''(t) + y(t) = f(t) , y(0) = 0 and  y(π/2) =...
Consider the boundary value problem y''(t) + y(t) = f(t) , y(0) = 0 and  y(π/2) = 0. Find the solution to the boundary value problem
Solve the given boundary-value problem. y'' − 2y' + 2y = 2x − 2,   y(0) =...
Solve the given boundary-value problem. y'' − 2y' + 2y = 2x − 2,   y(0) = 0, y(π) = π
Give the solution to the given boundary value problem y''+y=18x y(0)=0 y(1)+y'(1)=0 answer: 3x- (6sin(sqrt6) x)/(sin(sqrt...
Give the solution to the given boundary value problem y''+y=18x y(0)=0 y(1)+y'(1)=0 answer: 3x- (6sin(sqrt6) x)/(sin(sqrt of 6)x +(sqrt 6) cos(sqrt6)
solve the boundary value problem: y''(x)+y(x)=e^x for 0<x<pi with y(0)=0 and y(pi)+y'(pi)=0. please show all steps.
solve the boundary value problem: y''(x)+y(x)=e^x for 0<x<pi with y(0)=0 and y(pi)+y'(pi)=0. please show all steps.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT