Zeineb

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9 years, 69 days

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These are questions asked by Zeineb

Hi

I would like to solve the integrodifferential equation and then look to the  stability of the origin.

Is it  stable, uniformly stable, asymptotically stable and uniformly asumptotically stable.

Please see the following code.

Code.mw

Thanks

 

 

Hi
I appreciate your help forfinding the best fitting line for a discrete series.

Starting with 1978 as base year and counting by two's the five year overage global temperature. where 

the temperature is given by the data : x[0],...,x[12] 

1) Find the best  fitting line : x[n+1]=a*x[n]+b
2) Assuming we can extrapolate, find the predicted value x[30]

 

Fitting_best_line.mw

 

Many thanks for your help.

 

Hi

I hope everyone is fine.

Here is a nice question :

I have an inequality ( please see maple code) if I assume a special condition (on |f(u,s)| used in the code )

how can I get an upper bound of the function |x(t)| and is the upper bound converges to zero when t goes to infinity.

Maybe this is can be done using maple because by hand up to know I can't find an upper bound which converges to zero as t goes to infinity.

Maybe, there is  a good, nice and appropriate answer using maple.

Below, please find the upper_bound.mw code.

Many thinks

 

Upper_bound.mw


 

``

restart; assume*(0 < gamma); assume*(0 < M)

(0 < gamma)*assume

 

(0 < M)*assume

(1)

abs(x(t)) <= exp(-gamma*t)*abs(x(0))+int(abs(x(s))*(int(exp(-gamma*(t-u))*abs(f(u, s)), u = s .. t)), s = 0 .. t);

abs(x(t)) <= exp(-gamma*t)*abs(x(0))+int(abs(x(s))*(int(exp(-gamma*(t-u))*abs(f(u, s)), u = s .. t)), s = 0 .. t)

(2)

assume*(int(abs(f(u, s)), u = 0 .. infinity) < M)

(int(abs(f(u, s)), u = 0 .. infinity) < M)*assume

(3)

``

 

(I*Can*get*an*upper*bound*of*abs(x(t))*when*I)*assume; int(abs(f(u, s)), u = 0 .. infinity) < M


 

Download Upper_bound.mw

Dear all;

I need a help to get a simple code about the null hypothesis test.

A drug is administrad to a population X of size 50 while a  placebo is given to a population Y of size 25.

Observed results of good bad and no effects are given in the following vectors for both population.

X=[ 20,11,19];

Y=[4,4,17];

test the null hypothesis H0: population independent of treatment versus the one tailed alternative that they are dependent by computing the theoretical contingency table with entries T[i,j] where i=1,2

for the two rows and j=1,2,3 for the three columns. At what p-value can we reject H0.

Many thanks

Hi all


I have the following ordinary differential equation, where all the parameter used are constant ( A,B,C,D,E,F,G,H).

Is there any technique gives a solution
diff(y(x), x$2)+(A/x+B/x^2+C)*(diff(y(x), x))+D*(diff(y(x), x))^2/x+E*(diff(y(x), x))^3+F/x+G/x^2+H/x^3 = 0;

 

 thanks for your help

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