solving ordinary differential equations solver method(ff_args=[ab]this is good feature because problem parameters must otherwise be global variables now they can be arguments in our right-hand side function in natural way exercise asks you to make complete implementation of this problem and plot the solution using odespy to solve oscillation odes like reformulated as system and uis done as follows we specify given number of time steps per period and compute the associated time steps and end time of the simulation ( )given number of periods to simulateimport odespy define the ode system uv -omega** * def (soltomega= )uv sol return [ -omega** *uset and compute problem dependent parameters omega x_ number_of_periods time_intervals_per_period from numpy import pilinspacecos *pi/omega length of one period dt /time_intervals_per_period time step number_of_periods* final simulation time create odespy solver object odespy_method odespy rk solver odespy_method(ff_args=[omega]the initial condition for the system is collected in list solver set_initial_condition([x_ ]compute the desired time points where we want the solution n_t int(round( /dt)no of time intervals time_points linspace( tn_t+ solve the ode problem solt solver solve(time_pointsnotesol contains both displacement and velocity extract original variables sol[:, sol[:, the last two statements are important since our two functions and in the ode system are packed together in one array inside the odespy solver the solution