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[SOLVED] 1st order nonlinear system of diff.equations????

please have a look at the attached picture....

please help me understand how to

solve __numerically__ for cases

further away from the equilibrium point?

I can linearize it near the equillibrium point , and solve it but i don't have a clue how to get started on points further away from the equilibrium point? (numerically)

any help me will be appriciated, please point me in the right direction, a link to some web page would be helpful too. thank you