在Matlab中可以得到下列方程的显式解吗？
注意，问题已编辑 我按照建议设置了限制，并收到以下结果：在Matlab中可以得到下列方程的显式解吗？,matlab,equation-solving,equations,Matlab,Equation Solving,Equations,注意，问题已编辑 我按照建议设置了限制，并收到以下结果： syms f1 f2 M b1 b2 assume (M > 1 & b1 > 0 & b2 > 0) S = solve ( [(f1^M)/(f2^M) - M/(b1*f1) + M + 1 == 0, ... (f2^M)/(f1^M) - M/(b2*f2) + M + 1 == 0], [f1,f2] ) Warning: The solutions are parameterized by
syms f1 f2 M b1 b2
assume (M > 1 & b1 > 0 & b2 > 0)
S = solve ( [(f1^M)/(f2^M) - M/(b1*f1) + M + 1 == 0, ...
(f2^M)/(f1^M) - M/(b2*f2) + M + 1 == 0], [f1,f2] )
Warning: The solutions are parameterized by the symbols: z, z1. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 511
In solve at 361
Warning: The solutions are valid under the following conditions: M + z^M/z1^M - M/(b1*z) + 1 == 0 & M + z1^M/z^M - M/(b2*z1) + 1 == 0 & z < 0 & z1 < 0. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 518
In solve at 361
S =
f1: [1x1 sym]
f2: [1x1 sym]
syms f1 f2 M b1 b2
assume (M > 1 & b1 > 0 & b2 > 0)
S = solve ( [(f1^M)/(f2^M) - M/(b1*f1) + M + 1 == 0, ...
(f2^M)/(f1^M) - M/(b2*f2) + M + 1 == 0], [f1,f2] )
Warning: The solutions are parameterized by the symbols: z, z1. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 511
In solve at 361
Warning: The solutions are valid under the following conditions: M + z^M/z1^M - M/(b1*z) + 1 == 0 & M + z1^M/z^M - M/(b2*z1) + 1 == 0 & z < 0 & z1 < 0. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 518
In solve at 361
S =
f1: [1x1 sym]
f2: [1x1 sym]
利用上述方程式，我试图复制赫什莱弗J.1995《无政府状态及其崩溃》中出现的反应曲线。如果你需要更多的信息，你很可能得不到一个明确的、封闭的解决方案，因为对于任何真实的M、b1和b2的一般情况，没有一个是适用的 特别是对于M=0的情况，两个方程都简化为
(...)^0 + 0 / (...) + 0 + 1 = 1 + 0 + 0 + 1 = 2 = 0
如果您对M或b有一些额外的限制，您应该尝试添加它们。@mbschenkel，我按照建议设置了这些限制，并收到了以下结果：
syms f1 f2 M b1 b2
assume (M > 1 & b1 > 0 & b2 > 0)
S = solve ( [(f1^M)/(f2^M) - M/(b1*f1) + M + 1 == 0, ...
(f2^M)/(f1^M) - M/(b2*f2) + M + 1 == 0], [f1,f2] )
Warning: The solutions are parameterized by the symbols: z, z1. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 511
In solve at 361
Warning: The solutions are valid under the following conditions: M + z^M/z1^M - M/(b1*z) + 1 == 0 & M + z1^M/z^M - M/(b2*z1) + 1 == 0 & z < 0 & z1 < 0. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 518
In solve at 361
S =
f1: [1x1 sym]
f2: [1x1 sym]
syms f1 f2 M b1 b2
assume (M > 1 & b1 > 0 & b2 > 0)
S = solve ( [(f1^M)/(f2^M) - M/(b1*f1) + M + 1 == 0, ...
(f2^M)/(f1^M) - M/(b2*f2) + M + 1 == 0], [f1,f2] )
Warning: The solutions are parameterized by the symbols: z, z1. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 511
In solve at 361
Warning: The solutions are valid under the following conditions: M + z^M/z1^M - M/(b1*z) + 1 == 0 & M + z1^M/z^M - M/(b2*z1) + 1 == 0 & z < 0 & z1 < 0. To include parameters and conditions in the solution, specify the 'ReturnConditions' option.
> In solve>warnIfParams at 518
In solve at 361
S =
f1: [1x1 sym]
f2: [1x1 sym]
利用上述方程式，我试图复制赫什莱弗J.1995《无政府状态及其崩溃》中出现的反应曲线。如果你需要更多的信息，请参考《政治经济学杂志》因为文章太多了，我发表了我的评论作为回答，你可以在下面看到，这和以前的结果是一样的吗？f1:[1x1 sym]与f1:[0x1 sym]，看起来Matlab确实返回了一个解决方案。什么是f1？被否决，因为你应该把它添加到你的问题中，而不是把评论作为答案，除非他们真的回答了。您可以编写编辑：。。。或者是用来区分原来的问题和后来的补充问题的东西。