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Let f be a function with continuous second derivatives, defined by: z = f (xy, x² + y") If we take u = xy and w = x? + y we get Zz = y fu + 2x fw y Zy = x fu + 3y² fw, then A) dxðy r fuu + (3y? + 4x²) fuw + 6xy² fww В) dxðy = fu + xy fuu + 6xy² fww C) = fu + ry fuu + (2x2 +3y) fuw + 6xy fww dxdy D) = y fuu + (2x + 3y) fuw +6xy² fww

Let f be a function with continuous second derivatives, defined by: z = f (xy, x² + y") If we take u = xy and w = x? + y we get Zz = y fu + 2x fw y Zy = x fu + 3y² fw, then A) dxðy r fuu + (3y? + 4x²) fuw + 6xy² fww В) dxðy = fu + xy fuu + 6xy² fww C) = fu + ry fuu + (2x2 +3y) fuw + 6xy fww dxdy D) = y fuu + (2x + 3y) fuw +6xy² fww

Advanced Engineering Mathematics
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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Let f be a function with continuous second derivatives, defined by: z = f (xy, x² + y*) If we take u = xy and w = x? + y we get Z = y fu + 2x fw y Zy = x fu + 3y² fw, then А) a fuu + (3y? + 4.²)fuw + 6xy? fww В) dxðy = fu + xy fuu + 6xy² fww C) Əxðy = fu + ry fuu + (2x2 +3y) fuw + 6xy fww D) = y fuu + (2x + 3y*) fuw + 6xy fww
Transcribed Image Text:Let f be a function with continuous second derivatives, defined by: z = f (xy, x² + y*) If we take u = xy and w = x? + y we get Z = y fu + 2x fw y Zy = x fu + 3y² fw, then А) a fuu + (3y? + 4.²)fuw + 6xy? fww В) dxðy = fu + xy fuu + 6xy² fww C) Əxðy = fu + ry fuu + (2x2 +3y) fuw + 6xy fww D) = y fuu + (2x + 3y*) fuw + 6xy fww
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