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Let rand k be positive real numbers. Consider a differential equation of the form 1113 _ = 1:131. dt Its solutions are interesting, as they

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Let rand k be positive real numbers. Consider a differential equation of the form 1113 _ = 1:131". dt Its solutions are interesting, as they ali blow up in a finite amount of'time. By rst determining the solution Phi) ofthe differential equation with initial value find the time t = T such that lim P] = 00. t :3" Check

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