This keeps returning that there are no solutions. Is there anyway I can solve an equation equal to an array?

%T1 step value
T1 = linspace(460,580);
%cp values
A  = 6.713;
B  = .02609e-2;
C  = .03540e-5;
D  =-.08052e-9;
Cp = A + B*T1 + C*T1.^2 + D*T1.^3;

%calculation for first enthalpy
h1 = 0.2396*T1 - 0.3467;

%calculation for Pr
Pr = .0082391667*T1 - 2.99871667;

%calculation for h2
T2S = 9.9.*21.64.*Pr+680.42;
h2S = .248725.*(T2S)-7.17;
h2a = (h2S-h1+(.865.*h1))./(.865);

%calcalculation for T2
H = h2a - h1;
z = H.*28.978 + (T1.*A+B/2*T1.^2+T1/3*460.^3+D/4*T1.^4);
eqn = T2.*A+B/2*T2.^2+C/3*T2.^3+D/4*T2.^4 == z;
solT2 = solve(eqn,T2)

Answer 1

[Walter Roberson]

You do not show your definition for T2.

You would need to use

T2 = sym('T2', size(T1));

This is because MATLAB treats resolved symbolic variables as being scalars, so if you had used

syms T2

then you would be asking to find a single value that satisfied all of the equations simultaneously, instead of looking for different values corresponding to each T1 element