[sage-support] solution of a 4th degree equation is real despite containing I but causes trouble

The solution of a cubic or quartic may require the use of complex numbers. (Indeed that's how the complex numbers were first discovered.) Below I exhibit a long expression for such a number that solve() found for me. It evaluates using n(t) to a real (decimal) number, and it passes " t in RR"

Re: [sage-support] solution of higher order nonlinear boundary value problems

Thank you On Thu, 27 Dec 2018, 7:15 pm David Joyner, wrote: > > > On Thu, Dec 27, 2018 at 8:36 AM Madhu wrote: > >> How to solve higher order boundary value problems by using sagemath >> > > ODEs or PDEs? > > I think sympy (included with sage) has more DEs capabilities than > maxima (which is t

[sage-support] solution of higher order nonlinear boundary value problems

How to solve higher order boundary value problems by using sagemath -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To

Re: [sage-support] solution of higher order nonlinear boundary value problems

On Thu, Dec 27, 2018 at 8:36 AM Madhu wrote: > How to solve higher order boundary value problems by using sagemath > ODEs or PDEs? I think sympy (included with sage) has more DEs capabilities than maxima (which is the default solver sage uses). Check out https://docs.sympy.org/latest/modules/

[sage-support] solution in sage is different to simply

from sympy.solvers import solve from sympy import * P, K, L, PL, Pt, Lt= symbols('P, K, L, PL, Pt, Lt') solve([K-(P * L)/PL, Pt- P - PL, Lt- L - PL], P,L,PL) [(-K/2 - Lt/2 + Pt/2 - sqrt(K**2 + 2*K*Lt + 2*K*Pt + Lt**2 - 2*Lt*Pt + Pt**2)/2, -K/2 + Lt/2 - Pt/2 - sqrt(K**2 + 2*K*Lt + 2*K*Pt + Lt

[sage-support] Solution of the system of differential equations

Hi, I have a system of differential equations and sage give me the solution as follows, The system: x10,x20,x30,t,f1,f2,c11,c22,c12,c23,k1,k2,x1,x2,x3=var('x10,x20,x30,t,f1,f2,c11,c22,c12,c23,k1,k2,x1,x2,x3') v1=f1*(x1-k1*x2)/(1+c11*x1+c12*x2) v2=f2*(x2-k2*x3)/(1+c22*x2+c23*x3) x1= function('x1',t

[sage-support] Solution of system of polynomials over reals

I want to find the common solution of x0^2+y0^2+x1^2+y1^2+x2^2+y2^2-1, (x1+x2+2x0)^2+(y1+y2+2y0)^2+2(x0^2+y0^2)-1, (x1+x2+2x0)x0+(y1+y2+2y0)y0+x0x1+y0y1+x0x2+y0y2, x0^2+y0^2+2x1x2+2y1y2 over reals. Parametric solution is also fine. -- To post to this group, send email to sage-support@googlegroups

[sage-support] Solution: How to get Apple (Aqua) interface instead of X11 for Tk calls on Mac OS X.

If you're getting X11 windows and dialogs instead of Apple's Aqua interface, you probably have non-Apple Tcl and Tk Frameworks installed. To solve the problem you can just remove the non-Apple Tcl & Tk frameworks and reinstall SAGE. SAGE will pick up the Apple Tcl & Tk frameworks and thereafter u

[sage-support] Solution found for pylab and TkAgg plotting in SAGE (Mac OS X)

A few weeks ago I posted a problem with Mac OS X with matplotlib in the SAGE distribution in which attempting to import pylab gave an error message which stated that there was an import error and the module _tkagg could not be found. The problem appears to be with matplotlib (I'm not clear about th

[sage-support] Solution

Hi, How can I find the solution x1,...,z3 in SAGE where A= [x1,x2,x3, y1,y2,y3, z1,z2,z3] is a (3,3) matrix which satisfy AB=C where B=[1,2 3,4, 5,6] a (3,2) matrix and C=[0,0, 1,0, 0,2] another (3,2) matrix ? --~--~-~--~-