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bc2-diff-ode2-plot2d-rhs
          plot2d(rhs(eqnend),[x,-5,5],[xlabel,"x"],[ylabel,"y(x)"]);

eqn:diff(y,x,2)-y=x*x;

sol:ode2(eq...

eqnend:bc2(...

Calculate

bc2-diff-ode2-plot2d-rhs
          plot2d(rhs(eqnend),[x,-1,1],[xlabel,"x"],[ylabel,"y(x)"]);

eqn:'diff(y,x,2)+y=0;

sol:ode2(eq...

eqnend:bc2(...

Calculate

bc2-diff-ode2-plot2d-rhs-sin-solve-subst
plot2d(rhs(total), [x, x1, x2],[xlabel,"x"],[ylabel,"y(x)"]);

F: (Dy(x))^2 - 4 * y(...

Fy: diff(F, y(x));

Fdy: diff(F, Dy(x));

Calculate

bc2-diff-ode2-plot2d-rhs
plot2d(rhs(eqnend),[x,-1,2],[xlabel,"x"],[ylabel,"y(x)"]);

eqn:'diff(y,x,2)+y=0;

sol:ode2(eqn,y,x);

eqnend:bc2(sol, x=-1,...

Calculate

bc2-diff-ode2-plot2d-rhs-subst
plot2d(rhs(eqnend),[x,0,2],[xlabel,"x"],[ylabel,"y(x)"]);

F:Dy+y+x;

dF:diff(F,Dy);

eqn:diff(F,y)-diff(dF...

Calculate

bc2-diff-ode2-plot2d-rhs
plot2d(rhs(c11), [x, -1, 1]);

eqn: 'diff(y,x,2)-3*'...

sol: ode2(eqn,y,x);

c11: bc2(sol, x=-1, y...

Calculate

bc2-diff-ode2-plot2d-rhs
plot2d(rhs(sol1),[x,-2,1],[xlabel,"x"],[ylabel,"y(x)"]);

eqn: 'diff(y,x,2)-3*'...

sol: ode2(eqn,y,x);

sol1:bc2(sol, x=-2, y...

Calculate

bc2-diff-ode2-plot2d-rhs
plot2d(rhs(per),[x,1,5],[xlabel,"x"],[ylabel,"y(x)"]);

eq: 'diff(y,x,2)-y=%e...

so: ode2(eq,y,x);

bc2(so, x=1, y=1, x=5...

Calculate

bc2-diff-ode2-plot2d-rhs
          plot2d(rhs(eqnend),[x,-1,2],[xlabel,"x"],[ylabel,"y(x)"]);

eqn:diff(y,x,2)-y=x*x;

sol:ode2(eq...

eqnend:bc2(...

Calculate

bc2-diff-ode2-plot2d-rhs-solve-subst
plot2d([rhs(lab2), rhs(lab3), rhs(lab4)], [x,x1,x2], [xlabel,"x"], [ylabel,"y(x)"], [color, red, green, blue], [legend, "y(x)=lab2", "y(x)=lab3", "y(x)=lab4"]);

T:2*y1^2-y1*y2+3*y2^2...

F:2*Dy^2+2*y^2+y*%e^x...

x1:-1;

Calculate

[bc2,diff,ode2,plot2d,rhs]

Run Example
(%i1)eqn:diff(y,x,2)+y=0;
(%o1)                                y = 0
(%i2)           sol:ode2(eqn,y,x);
(%t2)                                y = 0

                                     msg1

(%o2)                                false
(%i3)           eqnend:bc2(sol, x=-1, y=1, x=1, y=-2);
(%o3)                                 []
(%i4)           plot2d(rhs(eqnend),[x,-1,2],[xlabel,"x"],[ylabel,"y(x)"]);
plot          plot2d(rhs(eqnend),[x,-1,2],[xlabel,"x"],[ylabel,"y(x)"]);
Run Example
restart;
(%o1)                               restart
(%i2) ecdif : 'diff(u,x,2)+u+x=0;
                                     2
                                    d u
(%o2)                           x + --- + u = 0
                                      2
                                    dx
(%i3)  sol2 : ode2(ecdif,u,x);
(%o3)                   u = %k1 sin(x) + %k2 cos(x) - x
(%i4) ps: bc2(sol2, x=0, u=0, x=1, u=0);
                                    sin(x)
(%o4)                           u = ------ - x
                                    sin(1)
(%i5) plot2d(rhs (sol2),[x,0,1],[y,-10,10]);
plotplot2d(rhs (sol2),[x,0,1],[y,-10,10]);
Run Example
eqn:'diff(y,x,2)-y=x*x;
                                  2
                                 d y        2
(%o1)                            --- - y = x
                                   2
                                 dx
(%i2)    sol:ode2(eqn,y,x);
                                 x         - x    2
(%o2)                  y = %k1 %e  + %k2 %e    - x  - 2
(%i3)    bc2(sol, x=1, y=1, x=3, y=3);
                      2        x        5        3    - x
                (14 %e  - 4) %e    (4 %e  - 14 %e ) %e       2
(%o3)       y = ---------------- + ---------------------- - x  - 2
                      5                     4
                    %e  - %e              %e  - 1
(%i4) eqnend:bc2(sol, x=1, y=1, x=3, y=3);
                      2        x        5        3    - x
                (14 %e  - 4) %e    (4 %e  - 14 %e ) %e       2
(%o4)       y = ---------------- + ---------------------- - x  - 2
                      5                     4
                    %e  - %e              %e  - 1
(%i5)           plot2d(rhs(eqnend),[x,1,3],[xlabel,"x"],[ylabel,"y(x)"]);
plot          plot2d(rhs(eqnend),[x,1,3],[xlabel,"x"],[ylabel,"y(x)"]);
[abs,define,diff,expand,find_root,float,plot2d,realroots] [abs,define,diff,find_root,float,pi,plot2d] [abs,linsolve,log,plot2d,rhs] [addcol,addrow,diff,ev,genmatrix,invert,kill,length,lmax,lmin,load,matrix,plot2d,romberg,sqrt,submatrix] [assoc_legendre_q,diff,legendre_q,load,plot2d,realpart] [assoc_legendre_q,diff,legendre_q,plot2d,realpart] [assume,diff,ev,ic1,ic2,ode2,plot2d] [assume,diff,ev,integrate,plot2d,sin] [assume,diff,ev,integrate,plot2d] [assume,diff,integrate,plot2d] [atan,cos,diff,kill,matrix,phi,plot2d,plot3d,ratsimp,rhs,sin,solve,sqrt,subst] [atvalue,bc2,desolve,diff,exp,ic2,ode2,plot2d,rhs,sin] [atvalue,bc2,desolve,diff,ic2,ode2,plot2d,rhs] [atvalue,bc2,diff,ode2,plot2d,rhs] [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,integrate,ode2,plot2d,rhs,sin] [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] [cos,diff,ode2,plot2d,rhs,sin,solve,subst] [cos,diff,ode2,plot2d,rhs] [diff,disp,ic1,ode2,print,rhs] [diff,exp,ic2,ode2,plot2d,rhs] [diff,exp,ic2,ode2,plot2d] [diff,exp,integrate,ode2,plot2d] [diff,exp,integrate,plot2d,psi,rhs,solve,sqrt] [diff,false,ic1,ode2,plot2d,ratprint,ratsimp,rhs] [diff,false,ic1,ode2,plot2d,ratprint,remvalue,rhs] [diff,float,is,lambda,load,map,plot2d,rhs] [diff,ic1,ode2,plot2d,ratsimp,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,ode2,plot2d,rhs] [diff,ode2,plot2d] [diff,ode2,rhs]

Related Help

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