Hi, Expert in nonlinear dynamics and optimization here. Your first problem can be formulated into an optimization problem. I have worked on many optimization related problems here in freelancer. Please check my reviews. There are other ways of finiding the parameters in the system using recursive estimation techniques like Kalman filter. Please send me the data for this problem.
The second is straight forward; the y-axis was halved and then it is rotated. Let me know if you have any queries.
Thanks,
Mohan