matlab(1-x)*y''=0.2*sqrt(1+y'^2) 输入y=dsolve('(1-x)*D2y-0.2*s
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matlab(1-x)*y''=0.2*sqrt(1+y'^2) 输入y=dsolve('(1-x)*D2y-0.2*sqrt(1+(Dy)^2)=0',
dsolve('(1-x)*D2y-0.2*sqrt(1+(Dy)^2)=0')
ans =
C22 + t*i
C22 - t*i
C22 - cosh(C20 - t/(5*(x - 1)))*(5*x - 5)
再问: 为什么我的是 y=dsolve('5*(1-x)*D2y=sqrt(1+(Dy)^2)','y(0)=0','Dy(0)=0','x') y = Int(sinh(-1/5*log(_z1-1)+1/5*i*pi),_z1 = 0 .. x)
再答: 你的符号输入有问题 y=dsolve('5*(1-x)*D2y=sqrt(1+Dy^2)','y(0)=0','Dy(0)=0','x'); simple(y) ans = (5*(-1)^(1/5)*(x - 1)^(4/5))/8 + (5*(-1)^(4/5)*(x - 1)^(6/5))/12 + 5/24 - (5*(-1)^(1/5)*(x - 1)^(4/5))/8 - (5*(-1)^(4/5)*(x - 1)^(6/5))/12 - 5/24
ans =
C22 + t*i
C22 - t*i
C22 - cosh(C20 - t/(5*(x - 1)))*(5*x - 5)
再问: 为什么我的是 y=dsolve('5*(1-x)*D2y=sqrt(1+(Dy)^2)','y(0)=0','Dy(0)=0','x') y = Int(sinh(-1/5*log(_z1-1)+1/5*i*pi),_z1 = 0 .. x)
再答: 你的符号输入有问题 y=dsolve('5*(1-x)*D2y=sqrt(1+Dy^2)','y(0)=0','Dy(0)=0','x'); simple(y) ans = (5*(-1)^(1/5)*(x - 1)^(4/5))/8 + (5*(-1)^(4/5)*(x - 1)^(6/5))/12 + 5/24 - (5*(-1)^(1/5)*(x - 1)^(4/5))/8 - (5*(-1)^(4/5)*(x - 1)^(6/5))/12 - 5/24
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