Solving a system of complex non-linear equations - MathOverflow most recent 30 from http://mathoverflow.net2013-05-26T09:37:11Zhttp://mathoverflow.net/feeds/question/91097http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/91097/solving-a-system-of-complex-non-linear-equationsSolving a system of complex non-linear equationsPrasenjit2012-03-13T17:22:06Z2012-03-13T17:22:06Z
<p>I have a set of five equations which can be described as follows:</p>
<p>$m_{i}=\frac{k_{1}}{(x+a)^{i}} + \frac{k_{2}}{(b+d)^{i}}+ \frac{k_{3}}{c^{i}}$</p>
<p>for i=1 to 5 where
$$\eqalign{
k_{1}&=\frac{a(x+a-b-c-d)+c(b+d)-xd}{(x+a-b-d)(x+a-c)} \
}$$
$$\eqalign{
k_{2}&=\frac{x(d-c)}{(x+a-b-d)(b+d-c)} \
}$$
$$\eqalign{
k_{3}&=\frac{xb}{(b+d-c)(x+a-c)}
}$$</p>
<p>$m_{i}$, $i$=1 to 5 are constants and $x,a,b,c,d$ are variables.</p>
<p>I want to find $x,a,b,c,d$ satisfying these equations.</p>