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NJ Let f; R² R be of class C². We set Flr, 0) = f(rcose, rsone) where r and I are the pular Coordinates. a) Show that xaf + y af 2x b) Deduce the solutions. F and y df = a² xx ry x of + y of ry - гат भ the EDP x of + y of = 0. 2x a² √x²+y² with a&R. ry

NJ Let f; R² R be of class C². We set Flr, 0) = f(rcose, rsone) where r and I are the pular Coordinates. a) Show that xaf + y af 2x b) Deduce the solutions. F and y df = a² xx ry x of + y of ry - гат भ the EDP x of + y of = 0. 2x a² √x²+y² with a&R. ry

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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NJ Let f; R² R be of class C². We set Flr, 0) = f(rcose, rsone) where r and I are the pular Coordinates. a) Show that xaf + y af 2x b) Deduce the solutions. F and y df = a² xx ry x of + y of ry - гат भ the EDP x of + y of = 0. 2x a² √x²+y² with a&R. ry
Transcribed Image Text:NJ Let f; R² R be of class C². We set Flr, 0) = f(rcose, rsone) where r and I are the pular Coordinates. a) Show that xaf + y af 2x b) Deduce the solutions. F and y df = a² xx ry x of + y of ry - гат भ the EDP x of + y of = 0. 2x a² √x²+y² with a&R. ry
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