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10. Derive CRE in polar coordinates Ur = r-1v0 ug = -rvr Using x = r cos 0 and y = r sin 0 and chain rule ди дх дх дү ди Ər ди дө ὃν ər ὃν дө = || = ди дх дх дө + dvdx дх дө + ди ду ду дә dvdx до ду -+ дх дr ' ду дr дә + диду ду дө до ду ду дө

10. Derive CRE in polar coordinates Ur = r-1v0 ug = -rvr Using x = r cos 0 and y = r sin 0 and chain rule ди дх дх дү ди Ər ди дө ὃν ər ὃν дө = || = ди дх дх дө + dvdx дх дө + ди ду ду дә dvdx до ду -+ дх дr ' ду дr дә + диду ду дө до ду ду дө

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Derive CRE in polar coordinates Ur = r-100 i uj = -rvr Using x = r cos 0 and y = r sin 0 ди ər ди дө ду ər ду дө = = = ди дх дх дr ди дх дх дө dvdx — дх дү dvdx дх дө and chain rule + + + + ди ду ду дә диду ду дө до ду ду дә до ду ду дө
Transcribed Image Text:10. Derive CRE in polar coordinates Ur = r-100 i uj = -rvr Using x = r cos 0 and y = r sin 0 ди ər ди дө ду ər ду дө = = = ди дх дх дr ди дх дх дө dvdx — дх дү dvdx дх дө and chain rule + + + + ди ду ду дә диду ду дө до ду ду дә до ду ду дө
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