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(t)+1)/(1+diff(f(x,y),x)(t)**2+diff(f(x,y),y)(t)**2):\nfor k from 0 to 3 do equa[k]:=\{D(u)(t)=A*diff(f(x,y),x)(t),\nD(v)(t)=A*diff(f(x,y),y )(t),\n#position initiale\nx(0)=2,y(0)=0,\n#vitesse initiale\nu(0)=0,v (0)=k/3\} od:\nfor k from 0 to 3 do solu[k]:=dsolve(equa[k],\{x(t),y(t )\},numeric,method=classical,stepsize=0.01,output=listprocedure):\np:= subs(solu[k],x(t)):\nq:=subs(solu[k],y(t)):\nlignecoul[k]:=spacecurve( [seq([p(h),q(h),f(p(h),q(h))],h=seq(0.05*k,k=0..80))],thickness=3,colo r=red) od:\n" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changec oords has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 43 "Warning, th e name arrow has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warn ing, the protected names norm and trace have been redefined and unprot ected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "display([lit,se q(lignecoul[l],l=0..3)],style=patchnogrid,scaling=unconstrained,lightm odel=light2,orientation=[0,174]);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 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reframe,view=[-2..2,-2..2,-15..0]):\n u:=D(x):v:=D(y):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n " }}{PARA 7 "" 1 "" {TEXT -1 43 "Warning, the name arrow has been rede fined\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names n orm and trace have been redefined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 511 "A:=-(u(t)**2*diff(f(x,y),x,x)(t)+2*u(t)* v(t)*diff(f(x,y),x,y)(t)+v(t)**2*diff(f(x,y),y,y)(t)+0.005)/(1+diff(f( x,y),x)(t)**2+diff(f(x,y),y)(t)**2):\n equa:=\{D(u)(t)=A*diff(f(x,y),x )(t),\n D(v)(t)=A*diff(f(x,y),y)(t),\n #position initiale\n x(0)=2,y(0 )=0,\n #vitesse initiale\n u(0)=-3/2,v(0)=1/2\}:\n solu:=dsolve(equa, \{x(t),y(t)\},numeric,method=rkf45,output=listprocedure):\n p:=subs(so lu,x(t)):\n q:=subs(solu,y(t)):\n lignecoul:=spacecurve([seq([p(h),q(h ),f(p(h),q(h))],h=seq(0.05*k,k=0..200))],thickness=3,color=red):\n " } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "display([lit,lignecoul],s 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