[發問] 三個Mathematica的問題請求幫助

fantuen

請各位專家幫忙提示我該如何解題
感激不盡
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gaoshanliu水

fantuen

似乎貼的不是很好...
2 x* R5 C* ^) k如果有達人願意幫忙, 麻煩+我QQ 860288311
0 f9 H% Y2 K3 S  n6 m我可以把notebook檔案發給你

fantuen

題目如下, 請高手幫幫忙 ^^
1. Write a function that as input has an expression f, and returns the logarithmic derivate 1/f (d f)/(d x) . Use a conditional or pattern test to make your function accept any symbols as input except for lists.
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; u% J, f8 v6 h  Y$ f  O' {- |% ~a) Write a recursive function that computes the function f[n] defined by 6 n f[n]=f[n-1]+n! for n>0, and f[0]=7. Restrict the argument to positive integers.
* m6 E. U% A7 ^2 ab) Write and test a program that computes f[n] using Module and a While loop.
; H2 D5 q3 o" |+ D% z! B! Uc) Compare the timings of the two methods by computing f[n] in both cases for very large values of n and/or doing the computation many times. You may have to use Clear or restart to clear Mathematica's memory of previous calculations. Explain your results.
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2 C4 q+ P  R$ b& ^Consider the iterative map Subscript[x, n] == 1/2 Subsuperscript[x, n-1, 2] -\[Mu].
/ w* s9 n( ?4 V* z4 _7 C- S+ la) Compute its fixed points and 2-cycles as a function of \[Mu].
b) Using linear stability analysis, compute the range of stability of both the fixed points as well as the 2-cycles.
c) Show cobweb diagrams for representative parameters illustrating the (un)stable fixed point and 2-cycle.
! F1 u; y' V5 \" {" B" Zd) Graphically demonstrate the onset of a stable 3-cycle.
e) Produce the bifurcation diagram.