Consider the equation system: y2 + w2 − 2xz = 0 x3 + y3 − z3 + w3 = 0 Prove that exists surrounding neighbourhood of point P = (1, −1, 1, 1) in which the solution (x, y, z, w) can be written with x and z as functions of (y, w)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the equation system: y2 + w2 − 2xz = 0 x3 + y3 − z3 + w3 = 0 Prove that exists surrounding neighbourhood of point P = (1, −1, 1, 1) in which the solution (x, y, z, w) can be written with x and z as functions of (y, w)
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