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My system hangs on executing the code. i am using vpasolve() to calculate m15 and using that m15 again to another equation to plot.

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syms beta15
eqn15 =cot(def15)== tan(beta15)*(((k+1)*m*m)/(2*(m*m*sin(beta15)^2-1))-1);
s15 = vpasolve(eqn15,beta15,1);
S15=abs(s15);
n15=2+(k-1)*(m*sin(S15))^2;
d15=(2*k*(m*sin(S15))^2-(k-1))*(sin(S15-def15))^2;
m15=(n15/d15)^0.5;
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% Pressure deflection diagram for theta=15
pr15=linspace(1,7.8,1000000);
msn15=(k2+pr15)/k1;
ct15=((k1*m15*m15-(k2+pr15))./(k2+pr15)).^0.5;
mcs15=(k1*m15*m15-2*(k2+pr15))/k1;
tn15=(2*ct15.*(msn15-1))./(k*m15*m15+2+mcs15);
theta15=atand(tn15);
a15=max(real(theta15));
A(3)= plot(theta15-15,pr15,'color',[0.8500 0.3250 0.0980],'LineWidth',1.1);
hold on
A(4)=plot(-theta15-15,pr15,'color',[0.8500 0.3250 0.0980],'LineWidth',1.1);
hold on

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R2015a

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