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lhs

eq1: 4*x+5*y-3*z=-40;

eq2: 4*x-5*y+3*z=-10;

eq3: -2*x+4*z=-4;

Calculate

lhs-rhs

r: x^2+2*x=4;

lhs(r);

rhs(r);

Calculate

lhs

liste1:[0,8,5,9,1,4,3...

liste2:[x=-r,x=%i,y=1...

liste3:[[1,4],[2,7],[...

Calculate

lhs-solve-subst

var1: E[A] = 1.0e7;

var2: E[P] = 3.04e5;

var3: R[1] = .62;

Calculate

lhs

r:3*x+2=4;

lhs(r);

Calculate

lhs-solve

eq1:x^5-3*x^4-3*x^3+9...

solve(eq1,x);

x:3;

Calculate

lhs-part-rhs-simp-solve-sqrt

p1:a^2 + 3^2 = b^2+4^2;

p2:(s-a)^2+3^2=c^2+5^2;

p3:(s-b)^2+4^2=(s-c)^...

Calculate

lhs-solve

eq1:x^5-3*x^4-3*x^3+9...

solve(eq1,x);

x:-1;

Calculate

lhs-log-rhs-solve

uno:3^(x+2)=5^(x);

luno:log(lhs(uno))=lo...

solve(luno,x);

Calculate

lhs-solve

eq1:x^5-3*x^4-3*x^3+9...

solve(eq1);

x:1;

Calculate

lhs

Run Example
(%i1)rt:tan(atan(1/2)+atan(1/3))=1;
                                   1         1
(%o1)                     tan(atan(-) + atan(-)) = 1
                                   2         3
(%i2) trigsimp(lhs(rt));
                                     1         1
                            sin(atan(-) + atan(-))
                                     2         3
(%o2)                       ----------------------
                                     1         1
                            cos(atan(-) + atan(-))
                                     2         3
(%i3)  logarc(lhs(rt));
                    %i                %i             %i                %i
            %i (log(-- + 1) - log(1 - --))   %i (log(-- + 1) - log(1 - --))
                    2                 2              3                 3
(%o3) - tan(------------------------------ + ------------------------------)
                          2                                2
(%i4) ratsimp(%);
(%o4)             
Run Example
eq:(x^2-17*x+1)^(x^2-34*x+1)=1;
                                       2
                         2            x  - 34 x + 1
(%o1)                  (x  - 17 x + 1)              = 1
(%i2) ratdisp:false;
(%o2)                                false
(%i3) ratsimpexpons:false;
(%o3)                                false
(%i4) rat(lhs(eq)), ratsimp;
                                         2
                           2            x  - 34 x + 1
(%o4)                    (x  - 17 x + 1)
(%i5) 
Run Example
derivabbrev:true ;
(%o1)                                true
(%i2) x(t):= r(t)*sin(theta(t));
(%o2)                     x(t) := r(t) sin(theta(t))
(%i3) y(t):=r(t)*cos(theta(t));
(%o3)                     y(t) := r(t) cos(theta(t))
(%i4) xdot: diff(x(t), t, 1);
(%o4)         r(t) cos(theta(t)) theta(t)  + r(t)  sin(theta(t))
                                         t       t
(%i5) ydot: diff(y(t), t, 1);
(%o5)         r(t)  cos(theta(t)) - r(t) sin(theta(t)) theta(t)
                  t                                            t
(%i6) xdotdot: diff(xdot, t, 1);
                                                                     2
(%o6) r(t) cos(theta(t)) theta(t)    - r(t) sin(theta(t)) (theta(t) )
                                 t t                               t
                      + 2 r(t)  cos(theta(t)) theta(t)  + r(t)    sin(theta(t))
                              t                       t       t t
(%i7) ydotdot: diff(ydot, t, 1);
                                                                       2
(%o7) - r(t) sin(theta(t)) theta(t)    - r(t) cos(theta(t)) (theta(t) )
                                   t t                               t
                      - 2 r(t)  sin(theta(t)) theta(t)  + r(t)    cos(theta(t))
                              t                       t       t t
(%i8) Assumption1: xdotdot=0;
                                                                     2
(%o8) r(t) cos(theta(t)) theta(t)    - r(t) sin(theta(t)) (theta(t) )
                                 t t                               t
                  + 2 r(t)  cos(theta(t)) theta(t)  + r(t)    sin(theta(t)) = 0
                          t                       t       t t
(%i9) Assumption2: ydotdot=0;
                                                                       2
(%o9) - r(t) sin(theta(t)) theta(t)    - r(t) cos(theta(t)) (theta(t) )
                                   t t                               t
                  - 2 r(t)  sin(theta(t)) theta(t)  + r(t)    cos(theta(t)) = 0
                          t                       t       t t
(%i10) E1: solve(Assumption1, r(t));
                 sin(theta(t)) r(t)    + 2 cos(theta(t)) theta(t)  r(t)
                                   t t                           t     t
(%o10) [r(t) = - -------------------------------------------------------]
                                                                      2
                 cos(theta(t)) theta(t)    - sin(theta(t)) (theta(t) )
                                       t t                          t
(%i11) E2: solve(Assumption2, r(t));
               cos(theta(t)) r(t)    - 2 sin(theta(t)) theta(t)  r(t)
                                 t t                           t     t
(%o11) [r(t) = -------------------------------------------------------]
                                                                    2
               sin(theta(t)) theta(t)    + cos(theta(t)) (theta(t) )
                                     t t                          t
(%i12) solve(subst(E2, [E1]), r(t));
(%o12)                                []
(%i13) E3: solve(lhs(E1)-lhs(E2), r(t));
                                                3
                                   2 (theta(t) )  r(t)
                                              t       t
(%o13)                [r(t)    = - --------------------]
                           t t         theta(t)
                                               t t
(%i14) 
[acos,cos,lhs,plot2d,rhs,solve,sqrt] [and,lhs,or] [append,block,do,lhs,print,return,rhs,solve,subst] [append,block,do,lhs,return,rhs,solve,subst] [at,block,coeff,expand,lhs,powerdisp,print,rhs,simp] [at,block,expand,lhs,powerdisp,print,rhs,simp] [atan,lhs,logarc,logcontract,tan,trigsimp] [beta,gamma,lhs,numer,sin] [block,coeff,lhs,map] [block,denom,equal,ev,fullratsimp,lhs,maplist,return,rhs,solve,trigexpand] [block,denom,equal,ev,fullratsimp,lhs,maplist,return,rhs,trigexpand] [block,expand,lhs,powerdisp,print,rhs,simp] [block,expand,lhs,powerdisp,print,rhs] [ceiling,ev,kill,lhs,log,numer,realroots,rhs] [coeff,expand,hipow,lhs,makelist,num,rat,resultant,rhs,subst,sum] [coeff,is,lhs] [coeff,lhs,rhs] [collectterms,denom,lhs,ratsimp,rhs,solve,subst] [combine,cos,diff,lhs,rhs,sin,solve] [constant,cos,declare,derivabbrev,diff,lhs,mainvar,ratsimp,rhs,sin,solve,subst,true] [constant,cos,declare,derivabbrev,diff,lhs,mainvar,rhs,sin,solve,subst,true] [cos,derivabbrev,diff,lhs,ratsimp,ratsubst,sin,solve,true] [cos,derivabbrev,diff,lhs,rhs,sin,solve,subst,true] [cos,derivabbrev,diff,lhs,sin,solve,subst,true] [cos,diff,lhs,rhs,sin,solve] [cos,lhs,plot2d,rhs,solve,sqrt] [denom,diff,ev,exp,ic1,lhs,load,logcontract,ode2,ratsimp,rhs,solve] [denom,diff,ev,exp,ic1,lhs,logcontract,ode2,rhs,solve] [denom,lhs,num,ratsubst,rhs,solve] [denom,lhs,ratsimp,rhs,solve,subst] [denom,lhs,ratsubst,rhs,solve] [diff,ev,lhs] [diff,expand,factor,lhs,rhs,solve] [diff,expand,find_root,lhs,realroots,rhs] [ev,expand,lhs,rhs,solve,sqrt] [ev,expand,lhs,rhs,sqrt] [expand,factor,lhs,powerdisp,rhs,tan,trigexpand,true] [expand,factor,lhs,powerdisp,rhs,tan,true] [expand,lhs,rhs,sqrt] [factor,lhs,rhs] [false,float,kill,lhs,plot2d,ratprint,rhs,solve] [false,lhs,ratexpand,ratsimpexpons] [false,lhs,ratsimpexpons] [false,lhs,taylor] [float,lhs,rhs,solve,subst] [is,lhs,rhs] [lhs,rhs,sqrt] [lhs,rhs] [lhs,solve] [lhs]

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