I am unsure of what to do with this one.
I have been given some conditions in an electric circuit. Due to Kirchoff's law I have calculated the differential equation to be:
2(dI/dt) + 12(dQ/dt) + 10Q = 12 sin(t)
where 12 sin(t) is the supplied voltage.
Im supposed to find Q at time t with initial conditions Q(0) = 0.2 and I(0)=0.
Is this a first order linear differential equation? Or is it classified as something else?
What confuses me is that it has 2(dI/dt) + 12(dQ/dt). I was thinking that perhaps dI/dt = d^2Q/dt^2 or vise versa but really im not sure.