Solving ODE analytically using Laplace Transform

I want to solve the equation

(dq_Pl (t))/dt = f_(Pl,T) R_T (kN_(T,o))/(N_(T,o)+(k-N_(T,o) ) e^(-k_GR t) ) + f_(Pl,H) R_H N_(H,0)- k_El q_Pl (t)

for qPL(t), Analytically by using Laplace transform.