Let f be a function with continuous first derivatives, defined by f (cos(xy), x2 + y³) xy If we take u = cos(xy) and w = x + y', then: dz A) 2.a²y fu – ry sin(ry) fu - yf(u, w) az в) ry sin(ry) fu + 2a²y fw- yf(u, w) az C) -ry sin(ry) fu + 2r² fu - f(u, u) (-ysin(ry) fu +2r fu) ry? - 2y f(u, w) ry? D)

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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Let f be a function with continuous first derivatives, defined by:
f (cos(xy), x? + y³)
xy
If we take u = cos(xy) and w = x' + y, then:
dz
A)
2a?y fu – ry sin(ry) fw -yf(u, w)
ry sin(ry) fu + 2x²y fw- yf(u, w)
B)
dz
C)
-ry sin(ry) fu + 2r² fw - f(u, w)
(-y sin(ry) fu +2r fu) ry? - 2y f(u, w)
ry?
D)
Transcribed Image Text:Let f be a function with continuous first derivatives, defined by: f (cos(xy), x? + y³) xy If we take u = cos(xy) and w = x' + y, then: dz A) 2a?y fu – ry sin(ry) fw -yf(u, w) ry sin(ry) fu + 2x²y fw- yf(u, w) B) dz C) -ry sin(ry) fu + 2r² fw - f(u, w) (-y sin(ry) fu +2r fu) ry? - 2y f(u, w) ry? D)
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