Goal: solve previous homework (or class problem) using a computer software.
It could mean integrating the ODE either symbolically (exactly), or numerically (approximately). In case of numerical approximations, also plot the (typical) solutions in the (t,x) or (x,y) plane.
Optionally, produce some other relevant pictures (exact solutions, level sets of prime integrals, eigenvectors of matrix linearizations ...)

Output: send me the code + pictures you obtained by e-mail. Also, prepare a short (about 10 minutes) presentation for class (May 12 / May 19).
Be prepared for discussion and/or changes in your code. You should conclude with a critical evaluation of the results you obtained.

Software: use whatever you want - some inspiration can be found here. You can write your own code, or use an existing library / software environment, train a neural network, ...

Please form teams of several people (two or preferably three) so that number of projects remains reasonably limited, and send me an e-mail so to avoid an overlap.

For suggested problems see table below. Other problems (as long as they remain connected to the practicum) are also possible.

PROBLEM: date TEAM: SOFTWARE: Remark
HW 1.1 12.5. A. Gregušová, A. Tranová, L. Buček (python, numpy, matplotlib, math ...)
HW 1.2 19.5. T. Jelínek python
HW 1.3 12.5. Z. Ševčovičová, T. Preisler Wolfram Mathematica in cartesian and/or polar coodinates
HW 2.2 19.5. K. Hrubá, V. Malíčková, Z. Nováková
HW 2.3 12.5. V. Štěpánková, M. Laitl, N. Korotushak, M. Halda python (matplotlib, numpy)
orbital derivative
symbolical computation 		19.5. Aigerim Zhumagulova demonstrate e.g. on HW 3.3 or
problems from practicum 6 / March 17
matrix spectra, eigenvectors
and exponentials
symbolical computation 		12.5. R. Budínek, M. Pokorný, A. Vránová, P. Kalina demonstrate e.g. on (selected) problems from practicum 8 / March 31
linear n-th order ODEs
symbolical computation 		demonstrate e.g. on problems 4--7 from practicum 9 / April 7