Solve equations with symbolic variables "syms" (DC motor equtions)

By useing the "syms" command for symbolic variables i would like to calculate/solve equations.

I got two equations for a DC motor J * dw(t)/dt = Km * i(t) - c * w(t) L * di(t)/dt = Va(t) - R * i(t) Ke * w(t)

1) how can i in matlab solve the two equations by useing "syms" so i get i(t)= i(t) = 1/Km * (J * dw(t)/dt + c * w(t)) i(t) = 1/R * (Va(t) - Ke * w(t) - L * di(t)/dt)

2) is there anyway i can transfor from time domain (t) to laplace (s)? and how?

i(t) = 1/Km * (J * dw(t)/dt + c * w(t)) => i(s) = 1/Km * (J * s * w(s) + c * w(s))

i(t) = 1/R * (Va(t) - Ke * w(t) - L * di(t)/dt) => i(s) = 1/R * (Va(s) - Ke * w(s) - L * s * i(s)

i(s) = i(s) => 1/Km * (J * s * w(s) + c * w(s)) = 1/R * (Va(s) - Ke * w(s) - L * s * i(s)

and some how collect(w/Va) so i get: w(s)/Va = Km/(R*c + Ke*Km + J*R*s + L*c*s + J*L*s^2) ??

Thanks!