Q₁: Find indicated partial derivatives дz a) yz = ln(x+z) ax อใน b) u = √r² + s², r = y + xcos t, s = x + y sin t axy дz c) z = 4ex lny, x = ln(u cos v), y = u sin v at (u, v) = (2, π/4). ди 2: Find the linear Dat

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q₁: Find indicated partial derivatives
дz
a) yz = ln(x+z)
ax
a²u
b) u = √r² + s², r = y + xcost, s = x + y sin t
axy
дz
c) z = 4ex lny, x = ln(u cos v), y = u sin v
at (u, v) = (2, π/4).
du
Q2: Find the linear annrovin
75 min
Date: 5/6/2022
(36
Transcribed Image Text:Q₁: Find indicated partial derivatives дz a) yz = ln(x+z) ax a²u b) u = √r² + s², r = y + xcost, s = x + y sin t axy дz c) z = 4ex lny, x = ln(u cos v), y = u sin v at (u, v) = (2, π/4). du Q2: Find the linear annrovin 75 min Date: 5/6/2022 (36
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