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{PARA 0 "> " 0 "" {MPLTEXT 1 0 174 "x:=t->1/r(t)*cos(t):y:=t->1/r(t)*sin(t):A:=diff(y(t),t,t)*diff(x( t),t)-diff(x(t),t,t)*diff(y(t),t):simplify(A,symbolic);B:=diff(x(t),t) ^2+diff(y(t),t)^2:simplify(B,symbolic);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&-%%diffG6$-%\"rG6#%\"tG-%\"$G6$F+\"\"#\"\"\"F(F0F0F(!\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&*$)-%\"rG6#%\"tG\"\"#\"\"\"F,*$)-% %diffG6$F'F*F+F,F,F,F'!\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 130 "eq:=diff(u(t),t,t)=-u(t)+sin(t)/u(t)^4*(u(t)^2+diff(u(t),t)^2)^(3 /2)+(tan(t)*diff(u(t),t)-u(t))/u(t)^2*(u(t)^2+diff(u(t),t)^2):eq;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%diffG6$-%\"uG6#%\"tG-%\"$G6$F*\"\" #,(F'!\"\"*(-%$sinGF)\"\"\"F'!\"%,&*$)F'F.F4F4*$)-F%6$F'F*F.F4F4#\"\"$ F.F4*(,&*&-%$tanGF)F4F;F4F4F'F0F4F'!\"#F6F4F4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "equa:=\{eq,u(0)=0.97,D(u)(0)=1.1\}:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "equa:=\{eq,u(0)=1.0029,D(u)(0)=0.9 \}:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 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2\}:\nsolu:=dsolve(equa,\{y(x)\},numeric,output=listprocedure):\nyy:=s ubs(solu,y(x)):" }}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 115 "display(plot([ yy(x)],x=0..3,scaling=constrained,color=blue),plot([yy(-x)],x=-3..0,sc aling=constrained,color=blue));" }}}{MARK "11 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }