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atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
  plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-y...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
 plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs
  plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=3*...

atvalue(y(x),x=0,2);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
 plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs
  plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=3*...

atvalue(y(x),x=0,2);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
  plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-y...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
 plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin
 plot2d(rhs(eqn_3), [x,0,3]);

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

[atvalue,bc2,desolve,diff,exp,ic2,ode2,plot2d,rhs]

Run Example
(%i1)eqn1: diff(y(x),x)=z;
                                 d
(%o1)                            -- (y(x)) = z
                                 dx
(%i2) eqn2: diff(z(x),x)=3*z(x)-2*y(x)+exp(x)^x;
                                                       2
                      d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
                      dx
(%i3) atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4) atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
                                         2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
                                          2
                                    g33270
                                    -------
                   %i g33270           4
 (sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
                       2
                    2               2                     2
              g33270          g33270                g33270
              -------         -------               -------
                 4               4              3      4
 - 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
                     2
               g33270
               -------
           2      4
 - 6 g33270  %e       ), g33270, x)]
(%i6) eqn_1: 'diff(y,x,2)-diff(y,x) =x;
                                     2
                                    d y
(%o6)                               --- = x
                                      2
                                    dx
(%i7) eqn_2:ode2(eqn_1, y,x);
                                  3
                                 x
(%o7)                        y = -- + %k2 x + %k1
                                 6
(%i8) eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
                                       3
                                      x
(%o8)                             y = -- + x
                                      6
(%i9) plot2d(rhs(eqn_3), [x,0,3]);
plotplot2d(rhs(eqn_3), [x,0,3]);eqn_11: 'diff(y,x,2)-3*diff(y,x)+4*y(x)=x^2;
                                2
                               d y             2
(%o10)                         --- + 4 y(x) = x
                                 2
                               dx
(%i11) sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12) sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13) plot2d(rhs(sol1),[x,1,5]);
plotplot2d(rhs(sol1),[x,1,5]);
Run Example
eqn1: diff(y(x),x)=z;
                                 d
(%o1)                            -- (y(x)) = z
                                 dx
(%i2) eqn2: diff(z(x),x)=3*z(x) - 2*y(x) + exp(x)^x;
                                                       2
                      d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
                      dx
(%i3)  atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4)  atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
                                         2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
                                          2
                                    g33270
                                    -------
                   %i g33270           4
 (sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
                       2
                    2               2                     2
              g33270          g33270                g33270
              -------         -------               -------
                 4               4              3      4
 - 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
                     2
               g33270
               -------
           2      4
 - 6 g33270  %e       ), g33270, x)]
(%i6)   eqn_1: 'diff(y,x,2) - diff(y,x)= x;
                                     2
                                    d y
(%o6)                               --- = x
                                      2
                                    dx
(%i7)  eqn_2:ode2(eqn_1, y,x);
                                  3
                                 x
(%o7)                        y = -- + %k2 x + %k1
                                 6
(%i8)  eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
                                       3
                                      x
(%o8)                             y = -- + x
                                      6
(%i9)   plot2d(rhs(eqn_3), [x,0,3]);
plot  plot2d(rhs(eqn_3), [x,0,3]);   eqn_11: 'diff(y,x,2)- 3*(diff(y,x)) +4*y(x)=x^2;
                                2
                               d y             2
(%o10)                         --- + 4 y(x) = x
                                 2
                               dx
(%i11)  sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12)  sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13)  plot2d(rhs(sol1),[x,1,5]);
plot plot2d(rhs(sol1),[x,1,5]);
Run Example
eqn1: diff(y(x),x)=z;
                                 d
(%o1)                            -- (y(x)) = z
                                 dx
(%i2)  eqn2: diff(z(x),x)=3*z(x)-2*y(x)+exp(x)^x;
                                                       2
                      d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
                      dx
(%i3)  atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4)  atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
                                         2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
                                          2
                                    g33270
                                    -------
                   %i g33270           4
 (sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
                       2
                    2               2                     2
              g33270          g33270                g33270
              -------         -------               -------
                 4               4              3      4
 - 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
                     2
               g33270
               -------
           2      4
 - 6 g33270  %e       ), g33270, x)]
(%i6)   eqn_1: 'diff(y,x,2)-diff(y,x) =x;
                                     2
                                    d y
(%o6)                               --- = x
                                      2
                                    dx
(%i7) eqn_2:ode2(eqn_1, y,x);
                                  3
                                 x
(%o7)                        y = -- + %k2 x + %k1
                                 6
(%i8)  eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
                                       3
                                      x
(%o8)                             y = -- + x
                                      6
(%i9)  plot2d(rhs(eqn_3), [x,0,3]);
plot plot2d(rhs(eqn_3), [x,0,3]);  eqn_11: 'diff(y,x,2)-3*diff(y,x)+4*y(x)=x^2;
                                2
                               d y             2
(%o10)                         --- + 4 y(x) = x
                                 2
                               dx
(%i11)  sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12)  sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13)  plot2d(rhs(sol1),[x,1,5]);
plot plot2d(rhs(sol1),[x,1,5]);
[assume,atvalue,desolve,diff,draw,draw2d,ev,explicit,integrate,load,rhs] [assume,diff,ev,ic1,ic2,ode2,plot2d] [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,desolve,diff,exp,integrate,plot2d] [atvalue,desolve,diff,integrate,plot2d,rhs] [atvalue,desolve,diff,sin] [atvalue,desolve,diff] [atvalue,diff,ode2] [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,numer,ode2,plot2d,rhs,solve,subst] [bc2,diff,ode2,plot2d,rhs] [bc2,diff,ode2] [cos,diff,float,ic2,ode2,plot2d,rhs,sin,sqrt] [cos,diff,float,ic2,ode2,plot2d,rhs,sqrt] [cos,diff,ic1,ode2,plot2d,rhs] [cos,diff,ic2,ode2,plot2d,rhs,sqrt] [cos,diff,ic2,ode2,plot2d,rhs] [diff,disp,ic1,ode2,print,rhs] [diff,exp,ic1,ode2] [diff,exp,ic2,ode2,plot2d,rhs] [diff,exp,ic2,ode2,plot2d] [diff,exp,ic2,ode2] [diff,exp,inf,limit,minf,plot2d] [diff,exp,inf,pade,plot2d,taylor] [diff,exp,integrate,ode2,plot2d] [diff,exp,integrate,plot2d,psi,rhs,solve,sqrt] [diff,exp,log,plot2d,realpart] [diff,exp,ode2] [diff,exp,plot2d,sin] [diff,exp,plot2d] [diff,false,ic1,ode2,plot2d,ratprint,ratsimp,rhs] [diff,float,is,lambda,load,map,plot2d,rhs] [diff,ic1,ode2,plot2d,rhs,solve] [diff,ic1,ode2,plot2d,rhs] [diff,ic1,ode2,plot2d] [diff,ic2,ode2,plot2d,rhs,sin] [diff,ic2,ode2,plot2d,rhs] [diff,ic2,ode2] [diff,ode2,plot2d,rhs] [diff,ode2,plot2d]

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