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Question Number 84085 by M±th+et£s last updated on 09/Mar/20

solve  (d/dr)(r(dθ/dr))=0

$${solve} \\ $$$$\frac{{d}}{{dr}}\left({r}\frac{{d}\theta}{{dr}}\right)=\mathrm{0} \\ $$

Answered by TANMAY PANACEA last updated on 09/Mar/20

(d/dr)(r(dθ/dr))=0=(dA/dr)  A=constant  r(dθ/dr)=A  dθ=A(dr/r)→   so θ=Alnr+B

$$\frac{{d}}{{dr}}\left({r}\frac{{d}\theta}{{dr}}\right)=\mathrm{0}=\frac{{dA}}{{dr}}\:\:{A}={constant} \\ $$$${r}\frac{{d}\theta}{{dr}}={A} \\ $$$${d}\theta={A}\frac{{dr}}{{r}}\rightarrow\:\:\:{so}\:\theta={Alnr}+{B} \\ $$

Commented by M±th+et£s last updated on 09/Mar/20

thank you sir

$${thank}\:{you}\:{sir} \\ $$

Commented by TANMAY PANACEA last updated on 09/Mar/20

most welcome sir

$${most}\:{welcome}\:{sir} \\ $$

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