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=~v(t),~Y[4]~=~x(t),~Y[5]~=~y(t)]GF9C'>&9'6#\"\"\"-%*piecewiseG6%2F^o& 9&6#\"\"&$FbpFEF^o>&F`p6#\"\"#-Fdp6%Ffp*&,&*$)&Fhp6#\"\"$F_qFbpFbp*&$F bpFEFbp-%$cosG6#&FhpF^qFbp!\"\"FbpFfqF_rF^o>&F`pFgq-Fdp6%Ffp,&-%$sinGF ]r$F_rFE*&$F_qF_rFbpFeqFbpF_rF^o>&F`p6#\"\"%-Fdp6%Ffp*&FfqFbpF[rFbpF^o >&F`pFip-Fdp6%Ffp*&FfqFbpFerFbpF^oF9F9F9>8'=F96#;FbpFjpE\\[l&FbpF^oF_q F^oFhq$\"#8F_rF]sF^oFjpF[q>8-FE>8.FE>8)-%$mapG6$%$rhsG-%&parseG6#-%#op G6$Fhq-%%evalG6#Fdo>8/-Fbo6#F8@'/FQF^oO7$/FhoFQ-%$seqG6$/&Fct6#8$-FS6# &FgsF_v/F`v;Fbp-%%nopsG6#Fct1F^oFQ>8(FC>F[wFB>8%-Fbo6#F[w@%4-FX6$7#F^w 7#.%%listGC%Z%>F^w-%;dsolve/numeric/SC/IVPsolveG6)Fdo;F^oFQFgsF_tFatFb u/%'scprocGF:F9C&@$/Fbu%%trueGYF9>FbuFex>F^wF\\x>FcuFex>8*&&F^wFgq6#&F ^wF^q>F_wF^wC$>F[yF\\y@$53/F[wFC2F[yFQ3/F[wFB2FQF[yC&@$5/&F^w6#\"\")Fb p2\"#5F_zC$>F[yF\\y@%FfyY6$QQcannot~evaluate~the~solution~further~righ t~of~%1F9-&FSF`z6#F[yY6$QPcannot~evaluate~the~solution~further~left~of ~%1F9FjzZ%>F^w-%FbuFex>F^wFb[l>FcuFex>F_wF^w>F[yF\\y@&FfyC$@$33/%:_Env_s mart_dsolve_numericGFex2F^oF[y2-Fbo6#F\\oF[y>Ff\\lF[y@$Fgy@)/&F_wF`zFb pY6$Qcocannot~evaluate~the~solution~further~right~of~%1,~probably~a~si ngularityF9Fjz/F\\]lF_qY6$Qcqcannot~evaluate~the~solution~further~righ t~of~%1,~maxfun~limit~exceeded~(see~?dsolve,maxfun~for~details)F9Fjz2F czF\\]lC$@$0%7_Env_dsolve_nowarnstopGFex-%(WARNINGG6#-_%,StringToolsG% .FormatMessageG6%Qhocannot~evaluate~the~solution~further~right~of~%1,~ stop~condition~#%2~violatedF9Fjz,&F\\]lFbpFczF_r>FQF[yYFhzFiyC$@$33Fb \\l2F[yF^o2F[y-Fbo6#F[o>F[_lF[y@$Fjy@)F[]lY6$Qbocannot~evaluate~the~so lution~further~left~of~%1,~probably~a~singularityF9FjzF`]lY6$Qbqcannot ~evaluate~the~solution~further~left~of~%1,~maxfun~limit~exceeded~(see~ ?dsolve,maxfun~for~details)F9FjzFd]lC$@$Fg]l-Fj]l6#-F]^l6%Qgocannot~ev aluate~the~solution~further~left~of~%1,~stop~condition~#%2~violatedF9F jzFb^l>FQF[yYF^[l>F[y-%9dsolve/numeric/SC/IVPvalG6$F^wFQ7$Fiu-F[v6$/F^ v&F[yF_vFdvF9F9F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "st(20); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7(/%\"tG$\"#?\"\"!/-%\"TG6#F%$\"3w ?CU[,w/r!# " 0 "" {MPLTEXT 1 0 56 "dsolve(\{op(yphug), ics, T(0)=0, v(0)=1.5\}, num eric)(20);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7(/%\"tG$\"#?\"\"!/-%\"TG6#F%$\"0FHq'*Q8&y!#9/-%&thetaG F,$!0@s\"=\"ysw#!#:/-%\"vGF,$\"0S(3+Ez75F//-%\"xGF,$\"0A%=Z\"eYI(F//-% \"yGF,$!0PwwQ*>8E!#?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "sub s(%, x(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"0A%=Z\"eYI(!#9" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 538 "xhit:= proc( v0 )\n sol:= dsolve(\{diff(theta(t),t) = piecewise( y(t)>0, (v(t)^2 - cos(theta(t) ))/v(t), 0),\n diff(v(t),t) = piecewise( y(t)>0, -sin(th eta(t)) - R*v(t)^2 , 0),\n diff(x(t),t) = piecewise( \+ y(t)>0, v(t)*cos(theta(t)), 0),\n diff(y(t),t) \+ = piecewise( y(t)>0, v(t)*sin(theta(t)), 0),\n d iff(T(t),t) = piecewise( y(t)>0, 1, 0 ),\n v(0)=v0, x(0)=0, y(0)=1, theta(0)=0, T(0)=0\}, numeric); \n subs(sol(20),x(t));\n\nend;" }}{PARA 7 "" 1 "" {TEXT -1 64 "Warni ng, `sol` is implicitly declared local to procedure `xhit`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%xhitGf*6#%#v0G6#%$solG6\"F*C$>8$-%'dsolve G6$<,/-%\"xG6#\"\"!F6/-%&thetaGF5F6/-%%diffG6$-F96#%\"tGF@-%*piecewise G6%2F6-%\"yGF?*&,&*$)-%\"vGF?\"\"#\"\"\"FN-%$cosG6#F>!\"\"FNFKFRF6/-F< 6$FEF@-FB6%FD*&FKFN-%$sinGFQFNF6/-F<6$-F4F?F@-FB6%FD*&FKFNFOFNF6/-FLF5 9$/-FFF5FN/-F<6$FKF@-FB6%FD,&FYFR*&%\"RGFNFJFNFRF6/-F<6$-%\"TGF?F@-FB6 %FDFNF6/-F]pF5F6%(numericG-%%subsG6$-F-6#\"#?FhnF*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "xhit(1.3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"3312WW9@Nn!#<" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "xhit(1.5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"3%\\t,-p`YI(! #<" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "xhit(0.02);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"3U^+4X,&)*)R!#=" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "?dsolve" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "15 0 0" 8 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 } 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