Recent content by outhsakotad

Okay... so our s=0 coefficients match, but I'm getting y2=b0*x^(1/2)*{1-(1/6)x+(1/120)*x^2+(59/5040)*x^3+...) for the s=1/2 ones using the formula... that doesn't seem to be what you got...

Ah, I get it! And I'm getting the same coefficients as you for the 0 indicial root. Thanks so much!

I'm still having a lot of trouble understanding how to do it by hand. On page 1202 near the top of this document, there appears to be a general formula they derive for the coefficients. But I'm don't understand how to apply this formula. http://www.cacr.caltech.edu/~sean/applied_math.pdf And...

Ahhh... I think I'm starting to see it.

I honestly don't know how to do it another way... Could you perhaps give me a general idea of the method you are using to get the coefficients?

Okay, it seems I'm having a conceptual problem here. When I try to find the recursion relation, I usually try to bring all the terms to have the same power of x, but I'm not sure how to deal with the "n+k" power that comes from the Cauchy Product...

Thanks... I'll look at it. According to my prof, we are supposed to get the recursion relation by hand. I'm just confused by the fractional indices I'm getting... :/

Homework Statement I'm trying to solve this DE: 4xy''+2y'+(cosx)y=0 using a series solution. Homework Equations The Attempt at a Solution See attached PDF. I tried writing the cosine term as an infinite series, but that gives me a messy double summation. And in the end, I get an...

Sorta makes sense, but if the probability density is not isotropic in theta, it still seems wrong to me to integrate that dependence away.

Homework Statement An electron in a H atom occupies the combined spin and position state: R21{(sqrt(1/3)Y10χ+) + (sqrt(2/3)Y11χ-)} If you measured both the z component of spin and the distance from the origin, what is the probability density for finding the particle with spin up and at...

Homework Statement xy''+2y'+(n^2)*x*y=sin(omega*x) Hint: Eliminate the first derivative term Homework Equations The Attempt at a Solution I have tried lots of substitutions, but none of them seems to work out. I don't really understand what the hint is getting at. For...

Ah, so I am correct, and it is a mistake in the solution (which was actually written by a student) ? I ran it in mathematica, and it appears to be so. I should be able to solve my approximate equation by hand but can't think of how. Any suggestions? Thanks so much for taking time to look at...

I'm not sure I follow. I'll keep looking, but I'm somewhat new to Mathematica.

Homework Statement This is a problem from an old exam I am reviewing for practice. Find a good approximation, for x large and positive to the solution of the following equation: y''-(3/x)y'+(15/(4x^2)+x^(1/2))y=0 Hint: remove first derivative term Homework Equations The...

Ah, okay. Thanks, so much. That solves some of the issues I was having with earlier problems too I think.