matlab - integrating and solving for a variable

Question

I want to solve this probability density function f(v)=Av^2e^(-v^2(m/2KT)) integrate it and make it equal to 1 and solve it for A. In Maple:

what i have tried is:

> restart;
> pdf := v-> Av^2*exp(-(1/2)*mv^2/KT);
> assume(m > 0, K > 0, T > 0);
> g := solve(int(pdf(v), v = 0 .. infinity) = 1, A);

but what i get as an answer is just g:=

Answer 1

您不只是缺少Aand v^2、 between mandv^2和 between Kand之间的乘法符号T吗？

restart;

pdf := v-> A*v^2*exp(-(1/2)*m*v^2/K*T):

assume(m > 0, K > 0, T > 0);

g := solve(int(pdf(v), v = 0 .. infinity) = 1, A);

                        (3/2)       
                   /m T\       (1/2)
                   |---|      2     
                   \ K /            
                   -----------------
                          (1/2)     
                        Pi          

也许您正在使用 Maple 的 2D 数学输入模式，并认为您正在隐式地获得这些名称的乘法，但缺少名称之间的空格来表示这一点。

我不知道你是否想要括号K*T。