### Related

##### bc2-diff-ode2-plot2d-rhs

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

sol:ode2(eq...

eqnend:bc2(...

Calculate

##### bc2-diff-ode2-plot2d-rhs

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

sol:ode2(eq...

eqnend:bc2(...

Calculate

##### bc2-diff-ode2-plot2d-rhs-sin-solve-subst

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

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

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

Calculate

##### bc2-diff-ode2-plot2d-rhs

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

sol:ode2(eqn,y,x);

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

Calculate

##### bc2-diff-ode2-plot2d-rhs-subst

F:Dy+y+x;

dF:diff(F,Dy);

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

Calculate

##### bc2-diff-ode2-plot2d-rhs

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

sol: ode2(eqn,y,x);

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

Calculate

##### bc2-diff-ode2-plot2d-rhs

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

sol: ode2(eqn,y,x);

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

Calculate

##### bc2-diff-ode2-plot2d-rhs

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

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

sol:ode2(eq...

eqnend:bc2(...

Calculate

##### bc2-diff-ode2-plot2d-rhs-solve-subst

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```
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]);
plot```
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```

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