Zeineb

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3 years, 345 days

MaplePrimes Activity


These are replies submitted by Zeineb

@acer 

in this case : y=0 and 3<=x<=4, we get g =0<=0  ( this case is true)

I  want to show that max{g(x,y)} <=0 less or equal zero.

@acer 

Thank you

this can be proved by hand, its enough to use that 1-y/1+y always less than one. after that we obtain a function which depends only on x and simple derivative give us the critical point. 

 

@Ramakrishnan 

Thank you for your time to see my question.

The solution proposed by maple satify all conditions maybe its the unique solution

@tomleslie 

My vector is [u[1, 0], u[2, 0], u[3, 0], u[1, 1], u[2, 1], u[3, 1], u[1, 2], u[2, 2], u[3, 2], u[1, 3], u[2, 3], u[3, 3]]
the quanties


alpha=5;

beta=10;

u[0, 0]=  u[0, 1]= u[0, 2]= u[0, 3]=100

so all these parameters are fixed.

 

@tomleslie 

the quantities f[1, 0], f[1, 1], f[1, 2], f[1, 3], f[2, 0], f[2, 1], f[2, 2], f[2, 3], f[3, 0], f[3, 1], f[3, 2], f[3, 3]   are constant , we can drop them from the sytem if you want, my goal is obtain the matrix whose entries are coefficient of u[i,j]

 

@Christopher2222 

Thank your for your remarks

maybe empty solution because f is discontinous function

@Zeineb 

Please find the modified version of the code but how can we deduce the general form of u[n]

sequence_modified.mw

@Preben Alsholm 

Thank you for your remark. We can fix N=10 for example

@Kitonum 

thank you for your answer.

can we obtain a general solution without specify the vectors v[i] and for general n

@Axel Vogt 

I compare

and

  I see there is a difference between them

 

@tomleslie 

Thank you for your help

I use maple 18

 

 

@Carl Love 

The ODE is defined for all x in [o,1] except 1/2

The piecewise function is differentiable ( or piecewise differentiable) and it is derivative equal zero ( defined as piecewise function) so it is a solution

@tomleslie 

There are three solutions:

1) C1=C2

2) C1=-C2

3) C1 and C2 are orthogonal

the three cases give D1=D2

@Kitonum 

Thank you for the code.

We get that the vectors  C1  and  C2  either:
1) coincide or 
2) differ from each other by turning by an angle multiple of  90  degrees

And a  third case,

differ from each other by turning by an angle multiple of  180  degrees

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