u(x,t) vs x and t 的圖

[chopriabin ()]

想請問一下

想用軟體(ex Mathematica, Maple...) 畫 u(x,t) 對 x 和 t 的圖形

u(x,t) 是這樣定義的：

u(x,t)=max { [ (e^t) / f(t) ] [ 1-(cosh(0.5x)-1) / g(t)   ] , 0 },

where

g(t) is defined by

Integrate[ sqrt[s(s+2)], {s,1, g(t)} ]=e^t-1,

and

f(t)=e^t+0.5* Integrate[1/g(s), {s,0, e^t-1} ]

故u(x,t) 是由 g(t) and f(t) 組成

而 g(t) and f(t) 都是implicitly defined

這樣有可能用軟體可以畫出 u(x,t) 對 x 和 t 的圖形嗎？

謝謝囉^


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