I'm trying to solve the following differential equation
$\ddot{y}(t)=F\cos(\Omega t)-\frac{1}{m}\left(c-\frac{\alpha^2}{R_l+R_i}\right)\dot{y}(t)-\frac{k}{m}y(t)-\frac{k_3}{m}y^3(t)-g$
with initial condition $y(0)=y_0$. Note that the parameters $F,\ \Omega,\ m,\ c,\ \alpha,\ R_l,\ R_i,\ k, \ k_3,\ g$ and $y_0$ are arbitrary.
I tried using the following code
ode:=diff(y(t),t,t)=F*cos(Omega*t)-(c-alpha^2/(R_l+R_i))*(diff(y(t), t))/m-k*y(t)/m-k3*y(t)^3/m-g;
dsolve({ode, y(0) = y0});
in Maple, but I didn't obtain any solution. Can somebody help me?
Thank you, Ana.