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## Main Question or Discussion Point

I have an equation that looks like

A

If I know that A

I believe that the above equation is equivalent to: ∂/∂r (A

Then substitute the value A

And then to get A

A

_{t, r}= A_{φ, r}If I know that A

_{φ}= r^{4}, then how do I find A_{t}?I believe that the above equation is equivalent to: ∂/∂r (A

_{t}) = ∂/∂r (A_{φ}) , correct?Then substitute the value A

_{φ}and we have ∂/∂r (A_{t}) = ∂/∂r (r^{4})And then to get A

_{t}I take the integral on both sides? so eventually A_{t}= r^{5}/5 ?