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The Maxima on-line user's manual

Algebra Calculator

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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-cos-diff-ode2-plot2d-rhs-subst
plot2d(rhs(solc),[x,-1,1]);

F:(Dy)^2 + 4*(y)^2 + ...

Fy:diff(F,y);

Fdy:diff(F,Dy);

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-diff-ic2-ode2

Sol: ode2('diff(y,x,2...

ic2(Sol,x=0,y=0,'diff...

bc2(Sol,x=0,y=0,x=5,y...

Calculate

bc2-cos-diff-ode2-plot2d-rhs-subst
plot2d(rhs(solc),[x,-1,1]);

F:(Dy)^2 + 4*(y)^2 + ...

Fy:diff(F,y);

Fdy:diff(F,Dy);

Calculate

bc2-depends-diff-ode2

Kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

bc2-diff-ic2-ode2-ratsimp

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

soln3:ode2(eqn3,y,x);

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

Calculate

bc2-diff-exp-ode2-plot2d-rhs-solve-subst
plot2d([rhs(expr), rhs(expr1)],[x,-1,1]);

F:(dy)^2+4*y^2+8*y*ex...

Fy: diff(F,y);

Fdy:diff(F,dy);

Calculate

bc2-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-kill-ode2-plot2d-rhs-subst
plot2d(rhs(v),[x,0,1],[xlabel,"x"],[ylabel,"T"]);

kill(all);

e: 'diff(T,x,2)=0;

i: ode2(e,T,x);

Calculate