My Math Forum suggest a numerical method for this equations

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June 4th, 2017, 05:42 AM   #1
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suggest a numerical method for this equations

Dear All

I am looking for your help to solve the next equations numerically

First, please see the attached photo #1 (named:ro) that shows the shape of two curves and the solution will be such as point 2 (P2).

Say sigma=y, epsilon= x

y*x= constant ...Eq1

(which is the same at point P1, P2 based on the assumed condition of the problem: nothing important here a part of the explanation of the curves in the photo)

y*x=y^2/E+y*(y/K)^(1/n) ..Eq2

E, K,n are constants

similarly, then I will need to solve the extended curves in attached 2

Say Delta_sigma=dy, delta_epsilon=dx

dy*dx= constant ...Eq1-1
dy*dx=dy^2/E+2*dy*(dy/2K)^(1/n) --Eq-3

Which numerical method best fit to solve these equations (Eq1&Eq2), and (Eq1-1 & Eq-3).

Thanks
Attached Images
 ro.jpg (14.6 KB, 0 views) 2.jpg (13.5 KB, 0 views)

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