10. Derive CRE in polar coordinates Ur = r-100 uo =-ror Using x = r cos 0 and y = r sine and chain rule ди ?и дх ди ду ər дх дә ду д ди дө ду ər ου дө = = ди дх дx дв dvdx дх дг dvdx дх дө + + + + диду ду дө до ду ду д до ду ду дө

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Derive CRE in polar coordinates.

10. Derive CRE in polar coordinates
ur = r-100
ид =-ror
Using x = r cos 0 and y = r sine and chain rule
ди
ди дх
ди ду
Ər
дх дү
ду дә
ди
дө
ду
Ər
ου
дө
=
=
ди дх
дх дө
dvdx
дх дү
dvdx
дх дө
+
+
+
+
диду
ду дө
до ду
ду д
до ду
ду дө
Transcribed Image Text:10. Derive CRE in polar coordinates ur = r-100 ид =-ror Using x = r cos 0 and y = r sine and chain rule ди ди дх ди ду Ər дх дү ду дә ди дө ду Ər ου дө = = ди дх дх дө dvdx дх дү dvdx дх дө + + + + диду ду дө до ду ду д до ду ду дө
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