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The point P = (x, y, z, u, v, w) = (1, 1, 0, −1, 0, 1) satisfies all the equation y² − z + u− v − w³ = -1 −2x+y=z²+u+v³ − w = −3 x² + z-u-v+w³ = 3 These equations define u, v, w as C¹ functions of x, y, z around P. Find u, v, and w, at P.

The point P = (x, y, z, u, v, w) = (1, 1, 0, −1, 0, 1) satisfies all the equation y² − z + u− v − w³ = -1 −2x+y=z²+u+v³ − w = −3 x² + z-u-v+w³ = 3 These equations define u, v, w as C¹ functions of x, y, z around P. Find u, v, and w, at P.

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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1. The point P = (x, y, z, u, v, w) = (1, 1, 0, -1, 0, 1) satisfies all the equation y² − z + u − v − w³ -1 w = -3 x² + z −u − v + w³ = 3 These equations define u, v, w as C¹ functions of x, y, z around P. Find uỵ, v, and w, at P. −2x+y=z²+u+v³ - =
Transcribed Image Text:1. The point P = (x, y, z, u, v, w) = (1, 1, 0, -1, 0, 1) satisfies all the equation y² − z + u − v − w³ -1 w = -3 x² + z −u − v + w³ = 3 These equations define u, v, w as C¹ functions of x, y, z around P. Find uỵ, v, and w, at P. −2x+y=z²+u+v³ - =
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