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發表於 09-5-3 11:54 AM |只看該作者 |倒序瀏覽 |打印

Consider the pair of simultaneous equations

x^2 + (y^2)z = z^7, and xyz + 10 = z^2

using the implicit function theorem, show that x and z may be uniquely determined
by y near a solution (x, y, z) = (a, b, c) if 2(a^2)b - 4ac - (b^3)c + 7b(c^7) not equal to 0
[note: do not attempt to solve the equations]

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