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When nonlinear systems of algebraic equations arise from discretization of partial differential This problem can be analyzed analytically, but the calculations boil down to solving the following...

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Mar 06, 2018 · In this section, we see how to solve non-linear systems of equations (those involving curved lines), using a graph. Our answers (as `x`-`y` coordinates) will be approximate, and we can improve our answer by using a graphics calculator or a computer package. Example. Solve the system of equations graphically: 3x − y = 4. y = 6 − 2x 2. Answer

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Jun 24, 2011 · Dear all, I have an apparently simple problem of finding zeros to nonlinear equations. I was told that mata can easily do the trick but I must say that I am completely new to it and struggling to enter its programming language. • The equation x2 +y2 = 3z2. Dividing by the square of the GCD, we may assume xand ycoprime. Then x2 and y2 are congruent to 0 or 1 modulo 3, but not both 0, hence x2 +y2 ≡ 1 (mod 3), a contradiction. • FLT I for exponent 3. This is the equation x3 + y3 = z3 with 3 ∤ xyz. We work modulo 32: since a cube is congruent to 0 or ±1 modulo 9, if