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#### Search: #### Bc2

Function: bc2 (<solution>, <xval1>, <yval1>, <xval2>, <yval2>) Solves a boundary value problem for a second order differential equation. Here: <solution> is a general solution to the equation, as found by `ode2`; <xval1> specifies the value of the independent variable in a first point, in the form `<x> = <x1>`, and <yval1> gives the value of the dependent variable in that point, in the form `<y> = <y1>`. The expressions <xval2> and <yval2> give the values for these variables at a second point, using the same form. See `ode2` for an example of its usage.

```(%o1)                                true
(%i2) ```

### Related Examples

##### bc2-diff-exp-lhs-ode2-plot2d-rhs-solve-subst F: (2*Dy^2+2*y(x)^2+y...

fi: 2*(y(x0)^2) -y(x0...

x_0: -1;

Calculate

##### bc2-diff-numer-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-cos-diff-numer-ode2-plot2d-rhs-solve-subst Psi:y2^2-2*y2;

F:2*Dy^2-2*y^2+y*cos(...

x1:0;

Calculate

##### bc2-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

##### bc2-cos-diff-ode2-plot2d-rhs-subst F:2*Dy^2+2*y^2+3*y*%e...

dF:diff(F,Dy);

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

Calculate

##### bc2-diff-numer-ode2-plot2d-rhs-solve-subst F:2*Dy^2+2*y^2+y*%e^x...

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

x1:-1;

Calculate

##### bc2-diff-first-ode2-plot2d-rhs-second-solve-subst F:(Dy)^2-4*y^2+2*x*y-...

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

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

Calculate

##### bc2-depends-diff-kill

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

##### bc2-diff-exp-ode2-plot2d-rhs-solve-subst F: (2*Dy^2+2*y(x)^2+y...

fi: 2*(y(x0)^2) -y(x0...

x_0: -1;

Calculate

##### bc2-diff-numer-ode2-plot2d-rhs-solve-subst F:2*Dy^2+2*y^2+y*%e^x...

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

x1:-1;

Calculate 