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Sturm Liouville Form

1. Homework Statement

y''+(2/x)y'+[landa]y=0, 0<x<1. y(0) must be finite, and y(1) = 0

Put this equation into sturm liouville form and state the weight function w(x)

2. Homework Equations

Sturm Liouville Form: {-d/dx(p(x)d/dx)+q(x)}y(x)=[landa]w(x)y(x)

3. The Attempt at a Solution

I'm almost certain the solution is {-d/dx(x^2dy/dx)=[landa]x^2y(x) so that w(x)=x^2

I just wanted to check that was correct because it comes right at the start of a computer project so it would be very annoying to find out I'd got that part wrong!

Thanks!

Gillian
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
 

Answers and Replies

HallsofIvy
Science Advisor
Homework Helper
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1. Homework Statement

y''+(2/x)y'+[landa]y=0, 0<x<1. y(0) must be finite, and y(1) = 0

Put this equation into sturm liouville form and state the weight function w(x)

2. Homework Equations

Sturm Liouville Form: {-d/dx(p(x)d/dx)+q(x)}y(x)=[landa]w(x)y(x
3. The Attempt at a Solution

I'm almost certain the solution is {-d/dx(x^2dy/dx)=[landa]x^2y(x) so that w(x)=x^2

I just wanted to check that was correct because it comes right at the start of a computer project so it would be very annoying to find out I'd got that part wrong!

Thanks!

Gillian
Yes, that is correct.

1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
 
Great, thanks!
 

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