janhardo

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11 years, 7 days

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These are questions asked by janhardo

In old studymaterial i could calculate  a gradient in (1,-1,2)   with obselote   package linalg 

f:= (x,y,z)->exp(x*y^3*z^2);
gradf(1, -1, 2); # werkt wel
              [-4 exp(-4), 12 exp(-4), -4 exp(-4)]

But i couldn't do it with the LinearAlgebra  or VectorCalculus package ?
LinearAlgebra has no gradient command, so left over Vector Calculus what is the right place 

Try to convert the old worksheet to the modern linear algebra package ( student )? 


 

restart:

with(LinearAlgebra):

 

v1:=(3/4-lambda)*x1+3*x2+2*x3=0:

v2:=3/4*x1-lambda*x2=0:

v3:=1/3*x2-lambda*x3=0:

stelsel:={v1,v2,v3}:

 

 

        We bepalen nu de bijbehorende determinant, en onderzoeken voor welke waarden van    deze

        determinant  0  is:

 

C:=Matrix([[3/4-lambda,3,2],[3/4,-lambda,0],[0,1/3,-lambda]]);

Matrix(3, 3, {(1, 1) = 3/4-lambda, (1, 2) = 3, (1, 3) = 2, (2, 1) = 3/4, (2, 2) = -lambda, (2, 3) = 0, (3, 1) = 0, (3, 2) = 1/3, (3, 3) = -lambda})

(1)

solve(det(C)=0);

Error, (in Engine:-Dispatch) badly formed input to solve: not fully algebraic

 

 

 

  

   Nu onderzoeken we, wat de bijbehorende oplossingen zijn:

 

     Voor   :   λ "= - 1/(4)"

 

lambda:=-1/4:

solve(stelsel);

{x1 = x1, x2 = -3*x1, x3 = 4*x1}

(2)

 

===========================================================
Maple v 4

 

 


 

Download uitw_03_m_recent.mw

 

 

Got a lot of worksheets who are not complete anymore once opened in maple 2020

It can be only opened with a old version of Maple
Can it be imported in Maple 2020?

example 

Dynmod03.mws

Found in old studymaterial about Loka-volterra ode 

dsolve({D(N)(t)=r*N(t)-k*N(t)^2,N(0)=N[0]},N(t));

Seems to me not logical notation to use a D operator  : D(N)(t)  for this ode : makes it unneeded complicated this notation..or do i miss something?

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