How to solve the following equations with a given data. I need the correct coding to solve .

clc
clear all
D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
lamda=0.09;
beta=0.1;
syms Q,r
solve(Q,r);
r=(( Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D))*b)/(((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));
Q=(2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+lamda))-((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)));
r=solve(subs(Q));

Answer Q=1455 and r = 247.5

[madhan ravi]

Show the equation in LaTeX form.

[shunmugam hemalatha]

I am sorry sir. I don't know to type in LaTeX form .

[madhan ravi]

or a picture from where you took these equations.

[shunmugam hemalatha]

Good morning sir,

Actually, they have given in a different notation. Also, I got the answer for r =247.5 by substituting the value of Q = 1455. (Just for verification)

The only problem is to find the 'Q', which is obtained by solving the equation (what i have given ), thereby substituting the equation 'r' in that. So that I need your help.

Thank You very much for your response.

Answer 1

[madhan ravi]

The below code is the way to solve them but the answer is no way near to get what you want , you have to experiment yourself to check if you input the eqautions properly.

D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
Lamda=0.09;
beta=0.1;
syms Q r positive
eq = [ ((Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D)*b) /...
    (((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));...
        (2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+Lamda))-...
        ((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)))];
[Q,r] = solve(eq,'real',1)
double(Q)
double(r)

[shunmugam hemalatha]

Once again I'm really for your response.

Sir,

Just now I took the picture of those two equations. And while I’m using the code, still, I didn’t get the answer. It shows like this.

ans =

1.1646e+04.

In this page, the picture is not getting pasted. So i will put in the Question page.