Finding a particular solution to second order differential equation

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Hello,

I am struggling on solving the expression attached. m,n,v, omega, E are real values; but could also leave as sym. Tried the following but could not make it work:

syms rr u(r)

sol=dsolve(diff(u,rr,2)+(2*m*rr/(m*rr^2+n*rr))*diff(u,rr)-(v/rr^2-1/rr^2+v/rr*(2-m-rr+n)/(m*rr^2+n*r))*u==0,rr)

Thanks in advance!

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Christopher Creutzig 2018-3-27

You declare u(r), a function of r. That makes diff(u,rr,2) and diff(u,rr) equal to zero, since you said u does not depend on r. Did you maybe want to use diff(u(rr),rr)?

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