partial differential for nonlinear equation

Question

ahmed ashiry 2015-3-1

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/180907-partial-differential-for-nonlinear-equation

评论： ahmed ashiry 2015-3-1

i want the partial differential of this equation w.r.t X , Y and Z

31.65951=sqrt((20460991.052399-X)^2+(11012393.207537-Y)^2+(13140061.841029-Z)^2)-sqrt((20462649.31-X)^2+(11012196.356-Y)^2+(13137623.266-Z)^2)

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

Mischa Kim 2015-3-1

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/180907-partial-differential-for-nonlinear-equation#answer_169708

编辑：Mischa Kim 2015-3-1

在 MATLAB Online 中打开

Use gradient

 syms X Y Z
 Eq = -31.65951 + sqrt((20460991.052399-X)^2+(11012393.207537-Y)^2+(13140061.841029-Z)^2)-sqrt((20462649.31-  X)^2+(11012196.356-Y)^2+(13137623.266-Z)^2);
 gradient(Eq)
 ans =
 (2*X - 5492455463362645/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*X - 5492900598497935/134217728)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))
 (2*Y - 2956116792316497/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*Y - 5912127900768797/268435456)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))
 (2*Z - 3527258492164819/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*Z - 7053207784329839/268435456)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))