Kitonum

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These are answers submitted by Kitonum

Use the command expand:

B1 := [1, 2, 0, -1]:       B2 := [0, 1, -1, 0]:                         

A1 := expand(a*B1+b*B2);                                

 

A1 := [a, b + 2 a, -b, -a]

In accordance with the syntax of Maple should be

Int(subs(x=1/t,expression)*(-1/t^2), t)

Apparently, you need to make the change of variable in the integral by the formula t = 1 / x. Then it will be necessary to write

Int(expression(x=1/t)*(-1/t^2), t)

DelBar2.mw 

 Here is the code, where only one joint edge of  adjacent polygons of the same color is deleted!

DelBar.mw

NULL

 

 

Code of the procedure

 

restart:

NULL

Example 1

 

DelBar([[pink, [[0, 0], [1, 1], [2, 1], [3, 0]]], [green, [[0, 0], [0, 1], [1, 3], [1, 1]]], [red, [[1, 3], [3, 2], [1, 2]]], [red, [[2, 2], [3, 2], [3, 0], [2, 1]]], [blue, [[1, 1], [1, 2], [2, 2], [2, 1]]]]);

 

NULL

 

Example 2

 

DelBar([[red, [[0, 0], [0, 4], [1, 4], [1, 0]]], [red, [[1, 3], [1, 4], [4, 4], [4, 0], [1, 0], [1, 1], [3, 1], [3, 3]]], [green, [[1, 1], [1, 3], [3, 3], [3, 1]]]]);

 

NULL

 

``

 

Example 3

 

DelBar([[red, [[0, 0], [0, 2], [2, 2], [2, 1], [3, 1], [3, 2], [4, 2], [4, 0]]], [green, [[0, 2], [0, 6], [3, 6], [3, 4], [2, 4], [2, 5], [1, 5], [1, 3], [2, 3], [2, 2]]], [blue, [[1, 3], [1, 5], [2, 5], [2, 3]]], [red, [[3, 2], [3, 6], [5, 6], [5, 2]]], [green, [[2, 1], [2, 4], [3, 4], [3, 1]]], [yellow, [[4, 0], [4, 2], [5, 2], [5, 0]]]]);

 

``



Download DelBar.mw

Since Your differential equation is of second order, we need another initial condition! Therefore, it is  impossible to plot your function, because there is an arbitrary constant.

See an option of solving your problem in file The_plot.mw

Thanks all for help in solving of the problem! 

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