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微分方程式の解曲線　Deqplot - (2016/03/15 (火) 11:16:12) の１つ前との変更点

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微分方程式の解曲線　Deqplot　2016.03.15　deqplot.cdy

Deqplot("1","y``=-y","x",0,[1,0]);
　微分方程式y''=-yの解のうちで，x=0のときy=1, y''=0を満たす解曲線を書く．
Deqplot("2","y`=y*(1-y)","x",0,0.5,["Num=100"]);
　微分方程式y'=y*(1-y)の解のうちで，x=0のときy=0.5を満たす解曲線を分割数100で書く．
　注）　デフォルトの分割数は50である．
Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]);
　連立微分方程式x'=x*(1-y), y'=0.3*y*(x-1)の解のうちで，t=0のとき[x,y]=[1,0.5]を満たす解曲線をtの範囲0以上20以下で書く．

&ref(deqplot.png,,title=,width=400,)
&ref(deqplot.zip)

Addax(1);

Deqplot("1","y``=-y","x",0,[1,0]);
Deqplot("2","y`=y*(1-y)","x",0,0.5,["Num=100","da"]);
Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5],["do"]);

Vtickmark([1,"nw","1",0.5,"nw","0.5"]);

Deqplot("1","y``=-y","x",0,[1,0]);
　微分方程式y''=-yの解のうちで，x=0のときy=1, y''=0を満たす解曲線を書く．
Deqplot("2","y`=y*(1-y)","x",0,0.5,["Num=100"]);
　微分方程式y'=y*(1-y)の解のうちで，x=0のときy=0.5を満たす解曲線を分割数100で書く．
　注）　デフォルトの分割数は50である．
Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]);
　連立微分方程式x'=x*(1-y), y'=0.3*y*(x-1)の解のうちで，t=0のとき[x,y]=[1,0.5]を満たす解曲線をtの範囲0以上20以下で書く．

&ref(deqplot.png,,title=,width=400,)
&ref(deqplot.zip)

Addax(1);

Deqplot("1","y``=-y","x",0,[1,0]);
Deqplot("2","y`=y*(1-y)","x",0,0.5,["Num=100","da"]);
Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5],["do"]);

Vtickmark([1,"nw","1",0.5,"nw","0.5"]);