I use rk4 to solve this equation with the paramater w = 500, I want to get the numbers of steps.

And when I change the parameter w = 1000, I want to obtain the numbers ofsteps?

Here is the procedure:

restart:
Digits:= 32;
w :=  500;
ode := diff(y(t), `$`(t, 1)) = 2*I*y(t) + sin(w*t)*y(t)*y(t):
ics := y(0) = 1:

p2 := dsolve({ics, ode}, numeric, method = classical[rk4]):

Thanks for your help.

I want plot this abs error function

with two variable, I set

x:=-0..2;

plot(abs(sin(x*w)-cos(x*w),w=-2..2));

But it is not displsy. Why ,Can you tell me about how to

plot the figure.