solving non linear differential equations

2019 2 6
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更新时间：2019 3 4
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I am working at a mathematical problem and I wanted to solve it numerically through MATLAB. The equation has the form:
epsilon*y'(t) =t*y(t)(y(t)-a)(y(t)-b)+c
where a<0 and b>0 and c>0

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Torsten
Torsten 2019-2-7
编辑：Torsten 2019-2-7

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a = -0.2;
b = 0.1;
c = 0.1;
epsilon = 1.0;
fun = @(t,y)(t*y*(y-a)*(y-b)+c)/epsilon;
tspan = [0 3.5];
y0 = 0;
[T,Y] = ode45(fun,tspan,y0);
plot(T,Y)

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Thank you for your help, but are you sure for you answer, could you explain more the method of your work, please.
Torsten
Torsten 2019-2-7
Take a look at how ODE integrators are invoked:
help ode45
Would you change this algorithm to Runge Kutta algorithm, pleas?!
a = -0.2;
b = 0.1;
c = 0.1;
epsilon = 1.0;
fun = @(t,y)(t*y*(y-a)*(y-b)+c)/epsilon;
tspan = [0 3.5];
y0 = 0;
[T,Y] = ode45(fun,tspan,y0);
plot(T,Y)
Torsten
Torsten 2019-3-4
ODE45 is a Runge-Kutta integrator ...

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