## Question

###### 14. For thc following linear diffcrential system, determine conditions on the parameler a such thal the origin is a (a) saddle; (b) stable nodc,or (c) stablc spiraldx dlt dy dt(a _ 1)x + Y,~ay

14. For thc following linear diffcrential system, determine conditions on the parameler a such thal the origin is a (a) saddle; (b) stable nodc,or (c) stablc spiral dx dlt dy dt (a _ 1)x + Y, ~ay

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