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Integrate unknown function?

1. Homework Statement

I've got B as a function of r B[r] B'[r] for derivative B[r] with respect to r and C for constant

2. Homework Equations

[tex]\mathbf{\frac{\ B'[r]}{\ r B[r]^2}}+\mathbf{\frac{\ (B[r]-1)}{\ r^2 B[r]}}= C[/tex]

solve for B as a function of r


3. The Attempt at a Solution

I try to separate r from B[r] term and move it to the other side of the equation and then integrate out but I can't separate them since they are couple to each other.
 
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