dz dz (a) Write down the formula for and when z f (x, y), x = x(s, t) and = y(s, t). ds dz (b) Use chain rule to find dz and where z = et y+2y´; and x(s,t) = s sin t and y(s,t) = t cos s- at

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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(a) Write down the formula for
and
when z = f(x, y), x = x(s, t) and y = y(s, t).
ds
dz
dz
and
ds
(b) Use chain rule to find
where z = e"ʻy+2y“; and x(s, t) = s
s sint and y(s,t) = t cos s.
Transcribed Image Text:(a) Write down the formula for and when z = f(x, y), x = x(s, t) and y = y(s, t). ds dz dz and ds (b) Use chain rule to find where z = e"ʻy+2y“; and x(s, t) = s s sint and y(s,t) = t cos s.
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