问题标题：
用mathematica求解如下二阶微分方程的数值解输出最终的数值解并画图用mathematica求解如下二阶微分方程的数值解和画图的程序代码A*y(x)=y''(x)/{{1+[y'(x)]^2}^(3/2)}+y'(x)/{{1+[y'(x)]^2}^(1/2)}其
问题描述：
用mathematica求解如下二阶微分方程的数值解输出最终的数值解并画图
用mathematica求解如下二阶微分方程的数值解和画图的程序代码
A*y(x)=
y''(x)/{{1+[y'(x)]^2}^(3/2)}+
y'(x)/{{1+[y'(x)]^2}^(1/2)}
其中A＝134708.边界条件:1)y'(0)=0;2)y'(0.005)=cot58(58是角度)
x={0,0.005},步长是0.0001
黄广连回答：
In[1]:=s=NDSolve[{134708*y[x]==
y''[x]/(1+(y'[x])^2)^1.5+y'[x]/(1+(y'[x])^2)^0.5,
y'[0]==0,y'[0.005]==Cot[58*[Pi]/180]},y,{x,0,0.005}]
Plot[Evaluate[y[x]/.s],{x,0,0.005},PlotRange->All]
esol=Block[{[Epsilon]=$MachineEpsilon},
NDSolve[{134708*y[x]==
y''[x]/(1+(y'[x])^2)^1.5+y'[x]/(x*(1+(y'[x])^2)^0.5),
y'[[Epsilon]]==0,y'[0.005]==Cot[58*[Pi]/180]},
y,{x,[Epsilon],0.005}]]
Plot[Evaluate[y[x]/.esol],{x,0.00001,0.005},PlotRange->All]
