Solving an equation with different inputs

Hi all!

Im trying to work with matlab and solving the following equation f(c)=0.

If anyone could help, would be very nice!

n=2.4

alpha = [0:0.01:0.8];

f(c) = alpha+((1-c).^n)-c*n.*(1-c).^(n-1);==0

Answer 1

[Torsten]

n = 2.4;
ALPHA = 0:0.01:0.28;
c0 = 1.0;
for i = 1:numel(ALPHA)
    alpha = ALPHA(i);
    f = @(c) alpha +(1-c).^n - c*n.*(1-c).^(n-1);
    C(i) = fzero(f,c0);
    c0 = C(i);
end
plot(ALPHA,C)

Sometimes there are two zeros in [0;1] ; depending on the initial value, fzero can only solve for one of them.

The limiting value for alpha to get a zero of the function seems ((n-1)/(n+1))^(n-1) ~ 0.2887.

Answer 2

[R]

Thank you so much Torsten, you helped me out allot!