What we can't see is if the OP has used Autoset on his CRO and CRO trigger level settings.
So a
valid comparison the images are
not.
His DSO however seemingly has been setup with Autoset and the trigger level has unfortunately been Autoset right near the peak of the waveform and we don't know if there's been an attempt to adjust it for what might be a better triggering and a more correct displayed waveform.
In cases like these it always best to
drive the scope manually, to rely on Autoset is to invite errors especially on complex waveforms.
A DSO is a powerful tool in the hands of a competent operator but can be a complete mind f*** in the hands of a novice.
Dave's advice to purchase a cheap CRO as one's first scope holds very strong merit in the way a CRO teaches correct scope operation, this experience sets one up for life for any further scope work.