Example 4.1-1 Flow near a wall suddenly set in motion > restart; > pde:=diff(vx(t,y),t)=nu*diff(vx(t,y),y,y);
> vx:=(t,y)->V*phi(y/sqrt(4*nu*t));
> pde; > de:=simplify(4*t*pde/V); > de1:=subs(y=eta*sqrt(4*nu*t),de);
> s:=dsolve({de1,phi(0)=1,phi(infinity)=0},phi(eta));