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(b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express each of the following partial derivatives in terms of partial derivatives of u: dw dw du at most one dr' Simplify each answer so that there is at most one term involving term involving ди and so on.

(b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express each of the following partial derivatives in terms of partial derivatives of u: dw dw du at most one dr' Simplify each answer so that there is at most one term involving term involving ди and so on.

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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(b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express each of the following partial derivatives in terms of partial derivatives of u: dw dw du at most one dr' Simplify each answer so that there is at most one term involving term involving ди and so on.
Transcribed Image Text:(b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express each of the following partial derivatives in terms of partial derivatives of u: dw dw du at most one dr' Simplify each answer so that there is at most one term involving term involving ди and so on.
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