Sponsored links: Algebra eBooks
 

Related

dependencies-depends-diff-length-op-part

depends([u,v],[x,t]);

dependencies;

xx: diff(u,x);

Calculate

dependencies-depends-diff

depends(y, [x, w]);

depends(w, x);

dependencies;

Calculate

dependencies-depends-diff-length-part

depends([u,v],[x,t]);

dependencies;

xx: diff(u,x);

Calculate

dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

dependencies-depends-diff-remove

depends ([f, g], x);

depends ([r, s], [u,...

depends (u, t);

Calculate

dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

dependencies-depends-diff-length-op-part

depends([u,v],[x,t]);

dependencies;

xx: diff(u,x);

Calculate

dependencies-depends-diff-length-op-part

depends([u,v],[x,t]);

dependencies;

xx: diff(u,x);

Calculate

dependencies-depends-diff-kill-ode2

kill(all);

depends(f,[x,y]);

depends(y,x);

Calculate

dependencies

Run Example
(%i1)kill(all);
(%o0)                                done
(%i1) depends(f,[x,y]);
(%o1)                              [f(x, y)]
(%i2) depends(y,x);
(%o2)                               [y(x)]
(%i3) dependencies;
(%o3)                           [f(x, y), y(x)]
(%i4) f(x,y):=(1+('diff(y,x)))^(1/2);
                                            dy 1/2
(%o4)                       f(x, y) := (1 + --)
                                            dx
(%i5) l2:diff(y,x,2)=0;
                                     2
                                    d y
(%o5)                               --- = 0
                                      2
                                    dx
(%i6) Y1:ode2(l12,y,x);
(%t6)                                 l12

                                     msg1

(%o6)                                false
(%i7) bc2(%,x=0,y=1,x=1,y=2);
(%o7)                                 []
(%i8) 
Run Example
kill(all);
(%o0)                                done
(%i1) depends(f,[x,y]);
(%o1)                              [f(x, y)]
(%i2) depends(y,x);
(%o2)                               [y(x)]
(%i3) dependencies;
(%o3)                           [f(x, y), y(x)]
(%i4) f(x,y):='diff(y,x)+x^2*('diff(y,x))^2;
                                      dy    2  dy 2
(%o4)                      f(x, y) := -- + x  (--)
                                      dx       dx
(%i5) I2:diff(f(x,y),'diff(y,x));
                                     2 dy
(%o5)                             2 x  -- + 1
                                       dx
(%i6) I3:I2+k;
                                   2 dy
(%o6)                           2 x  -- + k + 1
                                     dx
(%i7) Y1:ode2(I3,y,x);
                                    k + 1
(%o7)                           y = ----- + %c
                                     2 x
(%i8) bc2(%,x=0,y=1,x=1,y=2);
(%o8)                                 []
(%i9) 
Run Example
Kill(all);
(%o1)                              Kill(all)
(%i2) depends(f,[x,y]);
(%o2)                              [f(x, y)]
(%i3) depends(y,x);
(%o3)                               [y(x)]
(%i4) dependencies;
(%o4)                           [f(x, y), y(x)]
(%i5) f(x,y):=('diff(y,x)+1)^(1/2);
                                        dy     1/2
(%o5)                       f(x, y) := (-- + 1)
                                        dx
(%i6) l2:diff(y,x,2)=0;
                                     2
                                    d y
(%o6)                               --- = 0
                                      2
                                    dx
(%i7) y1:ode2(l2,y,x);
(%o7)                           y = %k2 x + %k1
(%i8) bc2(%,x=0,y=1,x=1,y=2);
(%o8)                                 []
(%i9) 

Related Help

Help for Dependencies