This paper presents two algorithms for solving the general dynamic equation for aerosols. Coagulation and condensation are solved simultaneously without using splitting. The first method is based on a collocation method for size discretization and a Rosenbrock solver for time integration. In the second method, time discretization is first performed. This leads to a Volterra equation of first kind, which is solved with cubic splines. Both methods are compared to a reference solution for constant coagulation and linear condensation.