Answer to Question #270824 in Differential Equations for Son

Question #270824

Gerry is to memorize 150 terms for a quiz. If the rate by which the number of terms Gerry memorizes is directly proportional to the number of terms already memorized and the number of remaining terms; and that initially Gerry knows 5 terms and 20 terms 5 minutes later. At what time is he half done?




1
Expert's answer
2021-11-25T15:24:06-0500

v=kxv=kx

k5(50)=15k5(5-0)=15

k=15/25=3/5k=15/25=3/5

3/5075dt=3/575=453/5\int_0^{75}dt=3/5\cdot 75=45

Answer: Gerry is half done at 45 minutes


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