(c) Show that the function z -- eX sin yt ey cos

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Question
az
(b) Solve
az
and
ди
by applying chain rule if z = In(x² – 2y), and x = u + v, y = e".
%3D
dv
(c) Show that the function z = e* sin y + ev cos x satisfies Laplace equation
+
ду
= 0.
Transcribed Image Text:az (b) Solve az and ди by applying chain rule if z = In(x² – 2y), and x = u + v, y = e". %3D dv (c) Show that the function z = e* sin y + ev cos x satisfies Laplace equation + ду = 0.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,