This problem is about the equation dP/dt = kP-H , P(0) = Po, where k &gt; 0 and H &gt; 0 are constants. If H = 0, you have dP/dt = kP , which models expontialgrowth. Think of H as a harvesting term, tending to reducethe rate of growth; then there ought to be a value of H big enoughto prevent exponential growth. Problem: find acondition on H, involving P0 and k, that will prevent solutions from growing exponentially.

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This problem is about the equation  dP/dt = kP-H ,   P(0) = Po,  where k &amp;gt; 0 and H &amp;gt; 0 are constants.  If H = 0, you have dP/dt = kP , which models expontialgrowth. Think of H as a harvesting term, tending to reducethe rate of growth; then there ought to be a value of H big enoughto prevent exponential growth.  Problem: find acondition on H, involving P0 and k, that will prevent solutions from growing exponentially.

unett · Accepted Answer

i just edited the question alittle bit, maybe this time itwill be clearer

This problem is about the equation dP/dt = kP-H , P(0) = Po, where k > 0 and H > 0 are constants. If H = 0, you have dP/dt = kP , which models exponti

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