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8-Gravel
September 29, 2020
Question

mathcad prime 6 cannot solve an equation correctly

  • September 29, 2020
  • 2 replies
  • 6029 views

Hi everyone,

I'm trying to use Mathcad prime 6 to solve a symbolic equation, but I cannot get the exactly same results as what I got from mathcad 15.

I don't know why the prime 6 cannot solve this symbolic equation, but mathcad 15 could.

Anyone know the reason or some hints, please let me know.

2 replies

23-Emerald IV
September 29, 2020

Welcome to the forum.

 

A picture paints a thousand words..... A worksheet helps much more.

So: you should ALWAYS attach your worksheet.

 

Other than that: Fricas (the new symbolic engine in Prime 6) may be less capable in solving 4th order equations than MuPad. Switch symbolic engine to the 'classic' symbolic engine and see what happens.

 

Success!

Luc

WeiXu8-GravelAuthor
8-Gravel
September 29, 2020

Hi,

attached are the two files I mentioned. One is using mathcad 15, the other one is using prime 6.

The symbolic equation is exactly same in the two files, but prime 6 cannot give me the solution of one of them.

If possible, please help me take a look at the files, thanks.

25-Diamond I
September 30, 2020

Some observations:

Werner_E_0-1601425345012.png

Werner_E_1-1601425436773.png

Werner_E_2-1601425521624.png

 

 

 

25-Diamond I
September 30, 2020

Trying to explain why muPad also adds -acos(...) to its solution and why this is correct in my opinion.

 

In mathematics arccos is NOT the inverse of the cos function, but rather is the inverse limited to the range from 0 to pi.  The inverse of the cos function would have an infinity number of values for every single argument and therefore is not a function in the mathematical definition.

To solve the equation cos(x)=C requires x = arccos(C) but also x = - arccos(C) OR x = 2 pi - arccos(C). And of course you may add any integer multiple of 2 pi to any of these two "main" solutions.

 

friCAS seems to have its own interpretation and I definitely prefer the correct answers of muPad:

Werner_E_0-1601426410573.png