Finding all solutions?

[mjenner]

In attached there is a system of two nonlinear equations. Graph indicates there are two solutions but Find only finds one of them.

Is there a best practice procedure for searching for other solutions? Maybe by creating a simple program to loop over the x domain (valid values of x) or what do you recommend?

Kind regards,

Michael

[ValeryOchkov]

One simple solution:

More - Решение алгебраических уравнений и систем

[ViktorKorobov]

One simple solution:

Sorry, Valery. Your solution is incorrect. Check please.

Viktor

[ValeryOchkov]

Sorry, it is an error of Mathcad 15 and Prime too

I remember in Mathcad 11 all was OK with guess values as Viktor, pardon, vector!

[ViktorKorobov · Accepted solution]

For correct solution:

1 .Guess values vectors should be placed before the solve block (why?)

2. The solution should be vectorized.

Viktor

[mjenner]

Thanks, I wasn't aware of the usage of the vectorize function.

I've used the parameterization of the solve block and then defined a range variable to step through the guess values, but it seems the vectorize operation does this in fewer lines of Mathcad "code".

Michael

[RichardJ]

1 .Guess values vectors should be placed before the solve block (why?)

I think the guess values within the solve block are local to the solve block, so your call to the function S does not recognize them. If there are no local guess values then the solve block picks up on any definitions prior to the solve block, as does your call to the function S. I haven't tried this in Prime, but

Solve block function

Definition of x and y vectors

Call S with arguments x and y

should also work (i.e. you pass the guess values as arguments to the function). That certainly works in MC15.