solving ordinary differential equations filenameosc_be py exercise set up forward euler scheme for nonlinear and damped oscillations derive forward euler method for the ode system ( )-( compare the method with the euler-cromer scheme for the sliding friction problem from sect does the forward euler scheme give growing amplitudes is the period of oscillation accurate what is the required time step size for the two methods to have visually coinciding curvesfilenameosc_fe_general py exercise discretize an initial condition assume that the initial condition on is nonzero in the finite difference method from sect derive the special formula for in this case filenameic_with_v_ pdf open access this is distributed under the terms of the creative commons attributionnoncommercial international license (which permits any noncommercial useduplicationadaptationdistribution and reproduction in any medium or formatas long as you give appropriate credit to the original author(sand the sourcea link is provided to the creative commons license and any changes made are indicated the images or other third party material in this are included in the work' creative commons licenseunless indicated otherwise in the credit lineif such material is not included in the work' creative commons license and the respective action is not permitted by statutory regulationusers will need to obtain permission from the license holder to duplicateadapt or reproduce the material