How to plot this differential equation

y=2xC-(C^2)/4

with multiple lines on same graph

any value for C and x except 0

[Walter Roberson]

I do not see any differential equation there? It just looks like a linear equation ?

Answer 1

[Andrés Castro]

You can try with the following code:

syms x C                                    % Define the syumbolic constants
y = 2*x*C-(C^2)/4;
constant_vector = -10:10;                   % stores the values for C = -10,-9...10 you can change it
for i = 1 : length(constant_vector)
    f(x) = subs(y,C,constant_vector(i))     % substitutes the numeric values of constant_vector in y(x) function
    fplot(@(x) f(x),[-10,10]);              % fplot function graphs for ith value of f(x) within -10 to 10 along the x axis
    hold on                                 % allows keep the multiple functions in the same window
    grid on
end

Obviusly when C = 0, y is 0 for the whole values of x