MATLAB: How to Solve differential equation

differential equationsfsolvesolve

Hi all
I have equation like this
dy/dt = a*y^2 + b*y + c
where a, b and c are constant
how can I solve this equation using matlab

Best Answer

I would use ode45 (unless your constants vary significantly in magnitude, then use ode15s).
The code:
a = 0.1;                                    % Create Data


b = 0.2;                                    % Create Data
c = 0.3;                                    % Create Data
f = @(t,y) a.*y.^2 + b.*y + c;              % Differential Equation Anonymous Function
tspan = [0 5];                              % Time Span
y0 = 0;                                     % Initial Condition
[t,y] = ode45(f, tspan, y0);                % Numerically Integrate ‘f(y)’
figure(1)
plot(t,y)
grid
See the documentation for ode45 for details.
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