Alexey Ivanov

1270 Reputation

12 years, 133 days

The Draghilev method...

The Draghilev method to find all the points of zero and Pi/2 slope of an implicit function f(x1,x2)=0 while driving along the section of the line connected.

Example solution of equation and searching of all the points of zero and Pi/2 slope (with animation):

x1^3+x2^3-0.1e-1*sin(1.00001*x1+x2)=0;

D__LIST0.mw

Without implicitplot3d (in any case, for...

The Draghilev method for F(x,y,z)=0. Many points with good precision (variants with h and h1).

......

restart; with(RootFinding):

f := Z^6-3*Z^4+3*Z^2+Z-1;

rhs(op(1, Isolate(f, Z)));

rhs(op(2, Isolate(f, Z)));

If I rightly understood…...

restart; with(RootFinding):

Z := x+I*y;

f := Z^6-3*Z^4+3*Z^2+Z-1;

Isolate([evalc(Re(f)), evalc(Im(f))], [x, y]);

No solutions...

It seems that the system is not consistent in any combination of 12 equations…

Other option...

restart:

g := (3*x^2-3*y^2)/(x-y);

x := `5`; y := `2`;

g;

with Maple......

At the urging of Markiyan Alexeyevich I show the text. Because I can't find out the proper code at once, here is a very close substitute. The Draghilev method is used in my animation.

Only for real roots...  resta...

Only for real roots...

restart;

with(RootFinding):

eq1 := x^4+(2*(3*y+1))*x^2+(5*y^2+4*y+11)*x-y^2+10*y+2;

eq2 := y^3+(x-2)*y+x^2+x+2;

Isolate([eq1, eq2], [x, y]);

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