restart:with(plots):

TSol:= f(x,y,Q); # The actual funtion is in the attached maple sheet because of its size.

animate( plot3d, [TSol,y=-1..1,x=0..1], Q=0..2,contours=65,style=patchnogrid, grid=[80,80], orientation=[-360,-180], lightmodel=light4, shading=zhue, transparency=0.3,style=contour);

plot3d(subs(Q=2,TSol),y=-1..1,x=0..1,contours=65,style=patchnogrid, grid=[80,80], orientation=[-360,-180], lightmodel=light4, shading=zhue, transparency=0.3,style=contour);

For Q = 2, why there is a big difference between these two ouputs?

 3d_anim_try.mw (If the maple sheet is not accessible then let me know, I will copy past the function (f(x,y,Q))?)

restart:

Eq1:=1/r*diff(r*diff(w(r),r),r)-(cos(z1))^2*(w(r)+1)-DP;

dsolve({Eq1});

bcs:=D(w)(0)=0,w(r2)=A1;

dsolve({Eq1,bcs},w(r)):

where z1, Dp, r2, A1 are constants.

restart:

Eq1:=diff(psi(y),y$4)-diff(psi(y),y$2)=0;

dsolve({Eq1});

bcs:=psi(h1)=F,D(psi)(h1)=-1,psi(h2)=-F,D(psi)(h2)=-1;

dsolve({Eq1,bcs});

Error, (in dsolve) found differentiated functions with same name but depending on different arguments in the given DE system: [{psi(h1), psi(h2), psi(y)}, {psi(h2), psi(y)}]

Any suggestion?

Cheers!

restart:

Eq1:=diff(f(x),x)=1;

f:=1:

plot(1,x=0..10);

cs:=(f)(0)=0;

p:=dsolve({Eq1,cs},numeric);

odeplot(p, [x,diff(f(x),x)], 0..10);

why I cannot get a plot diff(f(x),x) like this?

whats going on here?

restart:

Eq1:=S*diff(f(x,t),x,t)+diff(f(x,t),x)^2-f(x,t)*diff(f(x,t),x$2)=diff(f(x,t),x$3);

BCs := {D[1](f)(0,t)=cos(t), f(0,t)=0,D[1](f)(L,t)=0};

ICs := {f(x,0)=0};

S:=10:L:=5:
smod3:= pdsolve(Eq1,ICs union BCs,numeric,range=0..L);

smod3:-plot(t=0,  color=red):

it seems to me that the problem is due to the mixed bcs. Any way around?

Cheers!