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Hauata opens two bank accounts: a checkings account with balance b(t) and a savings account with balance s (t), at time t (measured in years since opening the accounts). At the same time, Hauata deposits 2000 dollars into the checkings account and 800 dollars into the savings account. The bank is paying interest at continuous rate of 3% on the checkings account and 5% on the savings account. Also, Hauata continuously transfers money from the checkings account to the savings account at the rate of half the balance of the checkings account. Set up a linear system of differential equations of the form db myb+m128, dt ds m2yb+ m28. %3D dt m11 m12 m21 m22 =

Hauata opens two bank accounts: a checkings account with balance b(t) and a savings account with balance s (t), at time t (measured in years since opening the accounts). At the same time, Hauata deposits 2000 dollars into the checkings account and 800 dollars into the savings account. The bank is paying interest at continuous rate of 3% on the checkings account and 5% on the savings account. Also, Hauata continuously transfers money from the checkings account to the savings account at the rate of half the balance of the checkings account. Set up a linear system of differential equations of the form db myb+m128, dt ds m2yb+ m28. %3D dt m11 m12 m21 m22 =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Hauata opens two bank accounts: a checkings account with balance b(t) and a savings account with balance s(t), at time t (measured in years since opening the accounts). At the same time, Hauata deposits 2000 dollars into the checkings account and 800 dollars into the savings account. The bank is paying interest at continuous rate of 3% on the checkings account and 5% on the savings account. Also, Hauata continuously transfers money from the checkings account to the savings account at the rate of half the balance of the checkings account. Set up a linear system of differential equations of the form db mub+ m128, dt ds m2b+ m28. dt m1 = m12 m21 m22 =
Transcribed Image Text:Hauata opens two bank accounts: a checkings account with balance b(t) and a savings account with balance s(t), at time t (measured in years since opening the accounts). At the same time, Hauata deposits 2000 dollars into the checkings account and 800 dollars into the savings account. The bank is paying interest at continuous rate of 3% on the checkings account and 5% on the savings account. Also, Hauata continuously transfers money from the checkings account to the savings account at the rate of half the balance of the checkings account. Set up a linear system of differential equations of the form db mub+ m128, dt ds m2b+ m28. dt m1 = m12 m21 m22 =
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