Mathematics Stack Exchange
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Questions tagged [nonlinear-system]

In mathematics, a nonlinear system of equations is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one.

In mathematics, a nonlinear system of equations is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. Reference: Wikipedia.

In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in it (them).

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Explicit solution to set of two nonlinear equations

Is it possible to derive the solution of the following set of two nonlinear equations explicitly? \begin{cases} Axy - x³y² + B = 0\\ Cxy - Dx²y³ + E = 0 \end{cases} If not, how can I derive the influence of one of the parameters, say A, on the value…
user185050
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Find eigenvectors for 2x2 system

While solving non linear system I got this matrix and don't know how to get the eigenvectors to draw the phase portrait. I got zero for both eigenvectors. \begin{bmatrix} 3 & 0 \\ 0& 2 \end{bmatrix} could you help explaining this?
F.O
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Can system of nonlinear algebraic and transcendental equations contain more equations than variables and still be consistent?

I have system of nonlinear equations. Each equation involves algebraic or tanscendental functions (usually step/threshold functions, nothing fancy), but no euqation involves differentials or derivatives. I have problem, that the number of equations…
TomR
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How would I solve this non linear systems of equation with trig.

How would I solve this. I'm kinda stuck... $$\cos(y) + \cos(z) = -1$$ $$\sin(y) + \sin(z) = 0$$
Nick Yarn
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