y=x.exp(-xt) ; Find x=f(y,t)?

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y=x.exp(-xt) ; Find x=f(y,t)?

Please help me...Thank you!

2007-12-20 03:44:08 · 2 answers · asked by Chummy 3 in Science & Mathematics ➔ Mathematics

ok, if x<=1/t, can you solve it?

2007-12-20 04:16:48 · update #1

thanks all, I will ask my professor...

2007-12-20 05:39:30 · update #2

2 answers

Your function is not one to one. The graph of y = xexp(-xt) has a maximum point at x = 1/t. So unless you restrict the domain ( for example, to x <= 1/t), x is not a function of y and t.

Sorry, I have to agree with Geezah. I think you have to resort to numerical methods, rather than hope for a formula.

2007-12-20 03:56:15 · answer #1 · answered by Michael M 7 · 0⤊ 0⤋

Is that supposed to be y = x * e^(-xt)? If so, I don't know any way you can analytically solve it.

2007-12-20 11:52:29 · answer #2 · answered by Anonymous · 0⤊ 0⤋