Please help me to figure out as soon as possible! With CLEAR WRITING! Thanks!

where o and ,8 are nonzero real parameters. {a} Cla.osify the xed point at the origin for on B 5'5 I] using linear stability analysis. {b} Show that the system has the following form in polar coordinates: '1 = 0:115 _ 1'2}? a = 1 [c] -Find all values of o, fl 5-2 D such that there is a limit cycle. What is the amplitude and period of the limit cycle? When is it stable or unstable? Remark. Recall that polar coordinates satisfy 1 1,. - 1 r= [:ra':+ypj and =(myi}