how to solve an equation with two unknowns

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fatima alansari 2019-7-14

回答： Jyotsna Talluri 2019-7-17

Hello,

I have this equation

y = (n*p)*(1-p)^(n-1);

I want to take the derivative and let it equal to zero to find out p, which should be 1/n as a result!

I could get the derivative for this equation manually and using MATLAB, the result is:

dydp = n*(1 - p)^(n - 1) - n*p*(n - 1)*(1 - p)^(n - 2))

However, I couldn't solve it as the way mentioned above to find p!

p = 1/n, i could do it manually. How can i find it using MATLAB??

Regards

fatima alansari 2019-7-14

Yes, to find the efficiency of Slotted ALOHA protocol. It is a multiple access protocol, used in networking.

Thenk you. I'll try these functions

Image Analyst 2019-7-14

Jyotsna Talluri 2019-7-17

Hi,

For solving the equation with 2 variables,you can use the solve() function

syms n
syms p
p=solve(n*(1 - p)^(n - 1)-n*p*(n - 1)*(1 - p)^(n - 2)==0,p);

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