solve an equation

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mohamed saber 2012-3-26

hello ,

i have a problem to solve this equation

clear,clc
cp=1005;
r=287;
d=1.2;
v=300;
to=298;
py=100:.1:150;
syms ty 
x=ty+(((d.*v.*r.*ty).^2)./(2*cp.*py.^2))-to;
ty=solve(x)

this equation is empirical and i can't get ty in L.H.S i wan't range of ty with every value of py

Walter Roberson 2012-3-26

It's just a quadratic. Re-arrange

ty + 5.310956420*10^6 * ty^2 ./ py.^2 - 298

into standard quadratic form and solve. (This does mean that you will get two values for each element of py)

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