Being fa function with continuous second derivatives, defined by: z = f (xy, a² + y*) If we take u = xy and w = x? + y* is obtained z, = y fu + 2r fw y zy = rfu+3y² fw , then: A) dxðy fu + ryfuu + 6ry° fw - y fuu + (2r + 3y*)fuw + 6zy²fww в) дхду C) fu + xyfuu + (2x² + 3y*) fuw + 6ry² fww drðy D) dxðy rfuu + (3y² + 4.r²)fuw+ 6xy² fww

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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Being fa function with continuous second derivatives, defined by:
z = f (ry, a² + y°)
If we take u = xy and w = x? + y' is obtained z, = y fu + 2x fw y zy = r fu + 3y² fw , then:
A)
fu + xyfuu + 6ry² fww
B)
yfuu + (2r + 3y) fuw + 6ry² fww
fu + xyfuu + (2x² + 3y®) fuw + 6xy² fure
D)
r fuu + (3y? + 4x²) fuw + 6.xy² fww
Transcribed Image Text:Being fa function with continuous second derivatives, defined by: z = f (ry, a² + y°) If we take u = xy and w = x? + y' is obtained z, = y fu + 2x fw y zy = r fu + 3y² fw , then: A) fu + xyfuu + 6ry² fww B) yfuu + (2r + 3y) fuw + 6ry² fww fu + xyfuu + (2x² + 3y®) fuw + 6xy² fure D) r fuu + (3y? + 4x²) fuw + 6.xy² fww
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