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P = linspace(.001,.01,10);
n = 20;
T = zeros(1,length(P));
wmax = zeros(1,length(P));
for i = 1:length(P)
T(i) = tension_sol(P(i),n);
w = membrane_solution(T(i),P(i),n);
wmax(i) = max(w);
end
clf
setDefaults
x = wmax';
y = P';
Z=x.^3;
a=Z\y;
x_fcn=linspace(min(x),max(x));
plot(x,y,'o',x_fcn,a*x_fcn.^3)