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4. The point kinetics equations can be simplified considerably by employing what is called the prompt jump approximation. This approximation assumes that the initial prompt

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4. The point kinetics equations can be simplified considerably by employing what is called the "prompt jump approximation." This approximation assumes that the initial prompt jump which takes place immediately after a reactivity insertion, occurs instantaneously and thereafter only the stable reactor period controls the rate of change of the neutron population. The approximation assumes that the rate of change of the neutron population is small when compared to the other terms in the point kinetics equation, such that: dtdn=0=n+C Using the prompt jump approximation in the point kinetics equations, determine an expression which yields the time-dependent behavior of the neutron population

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