Robert M. Corless
Department of Applied Mathematics
University of Western Ontario
London, Canada

Copyright 2001 by Robert M. Corless
All rights reserved

Useful one-word commands 

Использование монокоманд

Solving equations 

Решение уравнений 

solve

Команда solve

> restart;
> p := x^3-1;

p := x^3-1
> zeros := solve( p, x );

zeros := 1, -1/2+1/2*I*sqrt(3), -1/2-1/2*I*sqrt(3)
> seq( expand(eval(p,x=z)), z=zeros );

0, 0, 0
> q := x^5 - x + 1;

q := x^5-x+1
> zeros := solve( q, x );

> seq( simplify(eval(q,x=z)), z=zeros );

0, 0, 0, 0, 0
> restart;
> eqs := {x*t=1, x^2+t^2=4};

eqs := {x^2+t^2 = 4, x*t = 1}
> soln := solve( eqs, {x,t});

> simplify( subs( soln, eqs ) );

{4 = 4, 1 = 1}
> solve( y*exp(y)-x, y );

LambertW(x)
> solve( y + ln(y) = x , y );

LambertW(exp(x))
> _EnvAllSolutions := true;
_EnvAllSolutions := true

> solve( sin(y) - x, y );
arcsin(x)-2*arcsin(x)*_B1+2*Pi*_Z1+Pi*_B1

> about(_B1);
Originally _B1, renamed _B1~:
  is assumed to be: OrProp(0,1)

> about(_Z1);
Originally _Z1, renamed _Z1~:
  is assumed to be: integer

> solve( y + ln(y) = z, y );
LambertW(_NN1,exp(z))

> about( _NN1 );
Originally _NN1, renamed _NN1~:
is assumed to be: AndProp(integer,RealRange(0,infinity))

> solve( y=ln(exp(x)),y );
_SolutionsMayBeLost
x

> _SolutionsMayBeLost;

С официального разрешения                    © 2002 Waterloo Maple, Inc

 
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