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The Maxima on-line user's manual

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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-depends-diff-kill-ode2

kill(all);

depends(f,(x,y));

depends(y,x);

Calculate

bc2-diff-integrate-ode2-plot2d-rhs-sin
plot2d(rhs (ps),[x,0,1],[y,0,0.10]);

restart;

ecdif : 'diff(u,x,2)+...

sol2 : ode2(ecdif,u,x);

Calculate

bc2-depends-diff-kill

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-diff-integrate-ode2-plot2d-rhs-sin
plot2d(rhs (ps),[x,0,1],[y,0,0.10]);

restart;

ecdif : 'diff(u,x,2)+...

sol2 : ode2(ecdif,u,x);

Calculate

bc2-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-dependencies-depends-diff-kill

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-diff-ode2-plot2d-rhs
plot2d(rhs (sol2),[x,0,1],[y,-10,10]);

restart;

ecdif : 'diff(u,x,2)+...

sol2 : ode2(ecdif,u,x);

Calculate

bc2-diff-ic2-ode2-ratsimp

eqn3:y*('diff(y,x))^3...

soln3:ode2(eqn3,y,x);

ratsimp(ic2(soln3,x=0...

Calculate