標題: implicit function theorem [打印本頁] 作者: ErIcK★TsE 時間: 09-5-3 11:54 AM
標題: implicit function theorem
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]作者: Naozumi 時間: 09-5-3 07:58 PM
