Change independent variable in magnetic field line equations

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Jarvis323
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How can I convert this system of equations :

$$\frac{dz}{d\phi} = \frac{rB_z}{B_{\phi}},
\frac{dr}{d\phi} = \frac{rB_r}{B_{\phi}},
\frac{d\phi}{d\phi} = 1$$

to

$$\frac{dr}{dz},
\frac{d\phi}{dz},
\frac{dz}{dz}$$
 
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