# how to solve the equation with loop?

2 views (last 30 days)
M.Rameswari Sudha on 11 Apr 2024
Moved: Voss on 11 Apr 2024
clc
clear all
T=15;
u1=8;
u2=12;
a1=50;
b1=5;
a2=100;
A=500;
Ae=100;
c1=5;
c2=10;
c3=12;
c4=8;
D=30;
b2=0.2;
a=0.01;
d=0.2;
k0=0.09;
k1=0.01;
h1e=2;
c1e=4;
%lambda=m
m=15;
%Cp=lambdae
Cp=0.02;
Cc=5000;
syms t
syms t1
syms x
pi=22/7;
f=a1+b1.*t;
g=a2.*(1/exp(b2.*t));
h=c1.*(t1./(1+m-t1))+(c2+Cp.*h1e).*int(((1+m-t)./(1+m-t1)),t,0,t1)+Cp.*c1e.*((1+m)./(1+m-t1))+c3.*(((t1-T).*k0)./(1+k1.*(t1-T)))+c4.*((k0./(1+k1.*(t1-T)))-1);
t11=vpasolve(h,t1,[0,10])
%double(subs(h,t1))
t11 = double(t11); % Convert symbolic to double
if 0<t11 && t11<=u1
S=int(((1+m)./(1+m-t)).*f,t,0,t11);
Q1=S+int((k0./(1+k1.*(t11-T)))*f,t,t11,u1)+(D.*k0./k1).*log((1+k1.*(u1-T))./(1+k1.*(u2-T)))+int((k0./(1+k1.*(t11-T)))*g,t,u2,T);
Q=subs(Q1, sym('t1'), t11);
vpa(Q)
DT=S-int(f,t,0,t11);
HT= int(int(((1+m-t)./(1+m-x)).*f,x,t,t11),t,0,t11);
BT=int((((T-t).*k0)./(1+k1.*(t-T))).*f,t,t11,u1)+int((((T-t).*k0)./(1+k1.*(t-T))).*g,t,u2,T)+(k0.*D./k1.^2).*log(1+k1.*(u2-T)./(1+k1.*(u1-T)))+(u1-u2).*(D.*k0./k1);
LT=int((1-(k0./(1+k1.*(t-T)))).*f,t,t11,u1)+int((1-(k0./(1+k1.*(t-T)))).*D,t,u1,u2)+int((1-(k0./(1+k1.*(t-T)))).*g,t,u2,T);
C1=(1/T).*(A+Cp.*Ae+c1.*DT+Cp.*c1e.*Q+(c2+Cp.*h1e).*HT+c3.*BT+c4.*LT-Cp.*Cc);
S1=subs(C1, sym('t1'), t11);
vpa(S1)
else
end
Moved: Voss on 11 Apr 2024

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