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ratsimp

Fs: 1/(s*C2)*(R1+1/(s...

Fs: ratsimp(Fs);

Hn: (Icp/(2*3.14)*Fs*...

Calculate

desolve-diff

odesolve(f(x)-diff(f(...

Calculate

diff-sin

diff(sin(sin(sin(x)))...

Calculate

desolve-diff

eqn_1:'diff(x(t),t)=1...

eqn_2:'diff(y(t),t)=-...

desolve([eqn_1,eqn_2]...

Calculate

diff-sin-sqrt-trigexpand

gauss1(x,sigma) := 1 ...

gauss1d(x,sigma) := t...

diff(sin(x), x);

Calculate

diff-log-sqrt

f:2*(sigma^2)*log(eps...

diff(f,sigma);

diff(log(epsilon*sqrt...

Calculate

ratsimp

ukn1: matrix[[1,1], ...

ratsimp(ukn1.ukn1);

ratsimp(ukn1.ukn1.ukn1);

Calculate

atvalue-diff-laplace-solve

atvalue(vc(t),t=0,Vc0);

atvalue(il(t),t=0,Il0);

eq1:laplace(ic(t)=A1-...

Calculate

atvalue-debugmode-diff-ode2-sqrt-true

debugmode(true);

x: x(t);

y: y(t);

Calculate

desolve-diff

desolve(f(x)/10=diff(...

Calculate

[atvalue,bc2,desolve,diff,ode2,ratsimp]

Run Example
(%i1)ed : 'diff(y(x),x,2) +  2*'diff(y(x),x) + y(x) = x;
                      2
                     d               d
(%o1)                --- (y(x)) + 2 (-- (y(x))) + y(x) = x
                       2             dx
                     dx
(%i2) atvalue(y(x), x=0, 2);
(%o2)                                  2
(%i3) atvalue(y(x), x=1, 0);
(%o3)                                  0
(%i4) edsol : desolve(ed,y(x)),ratsimp;
                                    !
                   - x     d        !                   x
(%o4)     y(x) = %e    (x (-- (y(x))!     ) + (x - 2) %e  + 3 x + 4)
                           dx       !
                                    !x = 0
(%i5) ode2(ed,y(x),x);
                                             - x
(%o5)                 y(x) = (%k2 x + %k1) %e    + x - 2
(%i6)  bc2(%o5,x=0,y(x)=2,x=1,y(x)=0);
(%o6)                                 []
(%i7) 
Run Example
ed : 'diff(y(x),x,2) +  2*'diff(y(x),x) + y(x) = x;
                      2
                     d               d
(%o1)                --- (y(x)) + 2 (-- (y(x))) + y(x) = x
                       2             dx
                     dx
(%i2) atvalue(y(x), x=0, 2);
(%o2)                                  2
(%i3) atvalue(y(x), x=1, 0);
(%o3)                                  0
(%i4) edsol : desolve(ed,y(x)),ratsimp;
                                    !
                   - x     d        !                   x
(%o4)     y(x) = %e    (x (-- (y(x))!     ) + (x - 2) %e  + 3 x + 4)
                           dx       !
                                    !x = 0
(%i5) ode2(ed,y(x),x);
                                             - x
(%o5)                 y(x) = (%k2 x + %k1) %e    + x - 2
(%i6)  bc2(%o5,x=0,y=2,x=1,y=0);
(%o6)                                 []
(%i7) 
Run Example
ed : 'diff(y(x),x,2) +  2*'diff(y(x),x) + y(x) = x;
                      2
                     d               d
(%o1)                --- (y(x)) + 2 (-- (y(x))) + y(x) = x
                       2             dx
                     dx
(%i2) atvalue(y(x), x=0, 2);
(%o2)                                  2
(%i3) atvalue(y(x), x=1, 0);
(%o3)                                  0
(%i4) edsol : desolve(ed,y(x)),ratsimp;
                                    !
                   - x     d        !                   x
(%o4)     y(x) = %e    (x (-- (y(x))!     ) + (x - 2) %e  + 3 x + 4)
                           dx       !
                                    !x = 0
(%i5) ode2(ed,y(x),x);
                                             - x
(%o5)                 y(x) = (%k2 x + %k1) %e    + x - 2
(%i6)  bc2(y(x),x=0,y(x)=2,x=1,y(x)=0);

solve: dependent equations eliminated: (2)
(%o6)                                 []
(%i7) 
[assume,atvalue,desolve,diff,draw,draw2d,ev,explicit,integrate,load,rhs] [assume,diff,factor,integrate,log,ratsimp] [assume,diff,ode2] [atvalue,bc2,desolve,diff,exp,ic2,ode2,plot2d,rhs,sin] [atvalue,bc2,desolve,diff,exp,ic2,ode2,plot2d,rhs] [atvalue,bc2,desolve,diff,ic2,ode2,plot2d,rhs] [atvalue,bc2,diff,ode2,plot2d,rhs] [atvalue,cos,desolve,diff,sin] [atvalue,depends,diff,log,ode2,plot3d] [atvalue,desolve,diff,exp,integrate,plot2d] [atvalue,desolve,diff,integrate,plot2d,rhs] [atvalue,desolve,diff,integrate] [atvalue,desolve,diff,log] [atvalue,desolve,diff,ratsimp] [atvalue,desolve,diff,sin] [atvalue,desolve,diff] [atvalue,diff,exp,ode2,plot3d] [atvalue,diff,ilt,laplace,solve] [atvalue,diff,laplace,solve] [atvalue,diff,log,ode2,plot3d,solve] [atvalue,diff,log,ode2,plot3d] [atvalue,diff,ode2,plot3d] [atvalue,diff,ode2] [atvalue,diff] [bc2,cos,diff,exp,length,makelist,ode2,plot2d,rhs,rk,sin,solve,subst] [bc2,cos,diff,numer,ode2,plot2d,rhs,solve,subst] [bc2,cos,diff,ode2,plot2d,rhs,subst] [bc2,cos,diff,ode2,plot2d,rhs] [bc2,dependencies,depends,diff,kill,ode2] [bc2,depends,diff,kill,ode2] [bc2,diff,exp,ode2,plot2d,rhs,solve,subst] [bc2,diff,first,ode2,plot2d,rhs,second,solve,subst] [bc2,diff,ic2,ode2,ratsimp] [bc2,diff,numer,ode2,plot2d,rhs,solve,subst] [bc2,diff,ode2,plot2d,rhs] [bc2,diff,ode2] [cos,depends,diff,integrate,kill,log,ode2,ratsimp,sin] [cos,diff,float,ic2,ode2,plot2d,rhs,sqrt] [cos,diff,ic2,ode2,plot2d,rhs] [cos,diff,integrate,pi,ratsimp,sin] [cos,diff,ode2] [cos,diff,ratsimp,sin] [depends,diff,ode2] [desolve,diff] [diff,do,ic1,ode2] [diff,expand,ic1,ode2,ratsimp] [diff,false,ic1,ode2,plot2d,ratprint,ratsimp,rhs] [diff,ic1,ode2,plot2d,ratsimp,rhs] [diff,ic1,ode2,ratsimp] [diff,ode2,ratsimp]

Related Help

Help for Atvalue

Help for Bc2

Help for Desolve

Help for Diff

Help for Ode2

Help for Ratsimp