<<A bank account that earns 5% interest compounded continuously has aninitial balance of zero. Money is deposited into the account at aconstant rate of $20 per year.The differential equation (DE) that describes the rate of change of thebalance B is:dBdtWhere f(B) =5B + 20O A.O B.= f(B),D.0.05B + 20Oc0.05B - 2020B +0.05984KNO

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Answered: A bank account that earns 5% interest…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A tank contains 210 liters of fluid in which 50 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t. dA dt Find the number A(t) of grams of salt in the tank at time t. A(t) =
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A tank contains 210 liters of fluid in which 50 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t. Find the number A(t) of grams of salt in the tank at time t.
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