Investigate the type of the critical point (0,0) of the given almost linear system, dx =2x-7y+x...

Transcribed Image Text:

Investigate the type of the critical point (0,0) of the given almost linear system, dx =2x-7y+x² + y² dt dy dt = -x-4y-3xy Thus, the The eigenvalue(s) of the associated linear system, A= critical point (0,0) is of the linearized system. (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once. Type an exact answer, using radicals and i as needed) Investigate the type of the critical point (0,0) of the given almost linear system, dx =2x-7y+x² + y² dt dy dt = -x-4y-3xy Thus, the The eigenvalue(s) of the associated linear system, A= critical point (0,0) is of the linearized system. (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once. Type an exact answer, using radicals and i as needed)