Hi Yannik,
the specification of the filter is not clear to me:
* A 1st order lowpass can be transformed into a 2nd order bandpass. But such a transfer function can not be described as "Chebyshev approximation". For these lowest-order filters one can not discriminate between different approximations (Butterworth, Chebyshev,...).
* What is the meaning of the mentioned terms "highpass, lowpass=2kHz/2kHz" ?
* What do you mean with "....not possible to compare the coefficient"? A 2nd order bandpass function (with coefficients) always can be compared with a 2nd order filter function that is derived from the selected circuit configuration (in terms of R and C): In your case "multi-feeedback".
* Finally, did you hear already about filter design programs (available for free)?
---------- Post added at 18:57 ---------- Previous post was at 18:45 ----------
As an alternative, perhaps your tutor thinks of a bandpass consisting of a Chebyshev lowpass-highpass series combination.
However, in this case you get a 4th order bandpass and you need two opamps.