Plot an ODE solution with different constant values.

Hi everyone.

I have an ODE which describes a fluid.

I want to solve this ODE and graph it for different constant values.

To solve it, I use this code

syms y(x)
ode = diff(y,x) == (1.5 - 0.8*y) / (0.5 + 0.8*x);
sol = dsolve(ode);

The problem I have is with plotting the solutions. I want to plot this solution for differnt valus of C (General Answer), but using the

ezplot(sol)

gives a (x,C) plot.

How can I plot the general answer to get this plot?

Thank you so much.

Answer 1

[HWIK]

Is this what you are looking for?

clear
syms y(x)
ode = diff(y,x) == (1.5 - 0.8*y) / (0.5 + 0.8*x);
sol = dsolve(ode);
y1 = matlabFunction(sol);
C1 = -5:5; %set your own values of C1
y1 = y1(C1,x);
hold on
for i=1:length(y1)
    ezplot(y1(i))
end

[BHZ]

Thank you so much.

I didn't know about the matlabFunction and it seems useful.