'1.8*a+.4000000000*b+103.9*c-.5000000000*e-102.6*g = 0', '.5000000000*b+102.6*c+.3*d+.3500000000*e-102.1*g = 0', '-.3*a-.3500000000*b+102.1*c+2.5*d-1.450000000*e-102.6*g = 0', '-2.5*a+1.450000000*b+102.6*c+3.3*d+1.050000000*e-102.4*g = 0', '-3.3*a-1.050000000*b+102.4*c+.7*d+.2500000000*e-105.1*g = 0', '-.7*a-.2500000000*b+105.1*c-.2*d+.2000000000*e-105.7*g = 0'

i use solve, it return a = a 

> 1) letJ subset F[7][x] be the set of all polynomials h in F[7][x] sloving the interpolation problem h(0);
=1,h(1)=5,h(6)=2. computer the unique polynomial f∈J of least degree.

2) find a surjective ring homomorphism ×:F[7][x]->F[7]^(3) such that Ker×=={rm:r∈F[7][x]};and computer ×(f)and×(x^2+3*x+2).

3) show thatJ=f+Ker×={f+rm:r∈ F[7][x]}.

> find*a*polynomial*f;

 in F[7][x] ofdegree less than 4 solving the congruence(x^(2)-1)∗f≡x^(3)+2*x+5 mod x^(4)+2*x+1 inF[7][x] .;

show that the residue class ring F[343]=F[7][x]/is a field,and computer the inverse of x^(2) mod x^(3)+x+1in F[343].

Hello everyone,

I saw a question on a different forum related to the stability of the numerical solution of a coupled ode system. The original question was about the convergence of the far field condition (infinity) for some specific values of the different parameters involved.  For the details please see the link below

http://mathematica...

How to calculate the integral of 1/sqrt(4*z^2+4z+3) over the unit circle counterclockwise for each branch of the integrand? Of course, with Maple.

Hi,I want to compute some expressions as binomial(d-2,r)*binomial(v-d-1,r-1) and something like that. In the process, there are many such expressions but with differernt parameters. Some of them can pass successfully, but some of them will generate a mistake. That is: Error, (in gcd/LinZip) variable in input expression must be in either the evaluate or retained variables.Could you please what happened to it? Thanks.

hxdhgghehddjhcjhrh

Thanks, so now I specify the value for M, ie M=1, but still error :(. What should I do now?

hi i have one probleam:i want solve one pde

(1/r)*(d/dr(r*dT/dr))=(1/ß)*dT/dt

ß is cte.

T=T(r,t)

Hi,

I need help for the following. I have system of ODE as follows

 

>

Hi When Im creating subjects and child subjects you would think it would be kept in alphabetic order. But no. It just becomes one big chaos after refreshing browser. What am I doing wrong? Btw what is the difference between subjects and groups inthe question repository? Thanks in advance, Henry

Hello

 I wish to solve nonlinear PDE equation numerically  in u & v coordinate . where u=t-x, v=t+x . we note x=(v-u)/2.. 

pde := diff(u(t,x),t,t) - diff(u(t,x),x,x) + x^2*u(t,x);  

 

 We need only initial condition let f(u)=sech(u) & g(v)=sech(v). So u((i,0)=f(ih), u(0,j)=g(jh) 

we summe step size of time j =  step size of spatial i .

the stencil we use , 

There are two parts to this question:

A) Graph the function and approximate any absolute extrema on the given interval.

B) Find any critical numbers, and then use them to find any absolute extrema not located at the endpoints.

__________________________________________________________________________________________________

Both of these parts have to be done using Maple. I tried asking my teacher again if she could help me through this problem,...

Given the pencil of lines a(3x+4y-10)+b(3x-y-5)=0.Find pencil of lines is tangent to the circle x^2+y^2+2x-4y=0?