Solving Equations for Varying Parameters for Beginners

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SUMMARY

The discussion focuses on solving two equations involving varying parameters, specifically eq#1) -1/r(d/dr)(r*tao)=0 and eq#2) tao=m(-dv/dr)^n, where n is a parameter. The equations are analyzed with respect to boundary conditions where v=0 at r=R and v=V at r=kR, with k and V also being parameters. A suggested approach involves substituting eq#2 into eq#1 and simplifying the expression while ensuring accuracy in calculations.

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juice34
Help help help!

eq#1) -1/r(d/dr)(r*tao)=0
eq#2)tao=m(-dv/dr)^n (n is a parameter)

for v=0 at r=R and v=V and r=kR (k and V are parameters)

I cannot figure this out for the life of me!
 
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juice34 said:
eq#1) -1/r(d/dr)(r*tao)=0
eq#2)tao=m(-dv/dr)^n (n is a parameter)

for v=0 at r=R and v=V and r=kR (k and V are parameters)

I cannot figure this out for the life of me!

Hello juice34,

It does not seem that difficult. I assume that the independent variable is r and that the dependent one is v. The first step is to substitute the second equation into the first one and leaving out the part which is divided away with regards to the zero on the right hand side. This gives:

<< complete solution deleted by Mentors >>

Check this calculation again step by step to make sure I did not make a mistake.

Coomast
 
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