xy 1 2 -w+z 2y - w³. z w³+ z³ - 2zw = 0 = 0 = 0
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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help me please
Transcribed Image Text:Consider the following three equations:
1
xy
∙w + z
= 0
2
2y — w³
Z
=
0
w³ + z³ – 2zw
=
0
1. Determine the total differential of the system.
2. Represent the total differential of the system in a matrix form JV = Udy,
where J is the Jacobian matrix, V = (dx dw dz)' and U is a vector.
3. Using the Cramer's rule, find 3 and ² at (x, y, w; z) = (1,4, 1, 1).
дz
ду
ду
-
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