[-/3.44 Points] DETAILS MY NOTES LARCALC12 13.3.103. Əz at Show that the function satisfies the heat equation = C z = e COS (승) 2x2 First, find the first partial derivative with respect to t. Əz Ət = Now, find the first and second partial derivatives with respect to x. Əz дх a²z ax² So, = = Əz Ət = a²z

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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[-/3.44 Points] DETAILS
MY NOTES
LARCALC12 13.3.103.
Əz
at
Show that the function satisfies the heat equation = C
z = e
COS
(승)
2x2
First, find the first partial derivative with respect to t.
Əz
Ət
=
Now, find the first and second partial derivatives with respect to x.
Əz
дх
a²z
ax²
So,
=
=
Əz
Ət
=
a²z
Transcribed Image Text:[-/3.44 Points] DETAILS MY NOTES LARCALC12 13.3.103. Əz at Show that the function satisfies the heat equation = C z = e COS (승) 2x2 First, find the first partial derivative with respect to t. Əz Ət = Now, find the first and second partial derivatives with respect to x. Əz дх a²z ax² So, = = Əz Ət = a²z
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