Thomas' Calculus, Books a la Carte Edition, plus MyLab Math with Pearson eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780134768755
Author: Hass
Publisher: PEARSON
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Chapter 9.3, Problem 13E
(a)
To determine
The rate of entering of salt in the tank at time t.
(b)
To determine
The volume of brine in the tank at time t.
(c)
To determine
The rate of leaving of salt from the tank.
(d)
To determine
The initial value problem describing the mixing process and to solve it.
(e)
To determine
The concentration of the salt in the tank 25 min after the process starts.
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y"-9y+20y= 80t-156
y(0) = −6, y'(0) = 5
y(t) =
Find particular solution to the differential equation.
Chapter 9 Solutions
Thomas' Calculus, Books a la Carte Edition, plus MyLab Math with Pearson eText -- Access Card Package (14th Edition)
Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 13ECh. 9.1 - In Exercises 13 and 14, consider the differential...Ch. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Use the Euler method with dx = 0.2 to estimate...Ch. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 10ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve the initial value problems in Exercises...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Solve the exponential growth/decay initial value...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Current in an open RL circuit If the switch is...Ch. 9.2 - Prob. 27ECh. 9.2 - Derivation of Equation (7) in Example 4
Show that...Ch. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Solve the Bernoulli equations in Exercises...Ch. 9.3 - Coasting bicycle A 66-kg cyclist on a 7-kg bicycle...Ch. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Show that the curves 2x2 + 3y2 = 5 and y2 = x3 are...Ch. 9.3 - Prob. 12ECh. 9.3 - Salt mixture A tank initially contains 100 gal of...Ch. 9.3 - Prob. 14ECh. 9.3 - Fertilizer mixture A tank contains 100 gal of...Ch. 9.3 - Prob. 16ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Controlling a population The fish and game...Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Develop a model for the growth of trout and bass,...Ch. 9.5 - Prob. 4ECh. 9.5 - Consider another competitive-hunter model defined...Ch. 9.5 - An economic model Consider the following economic...Ch. 9.5 - Two trajectories approach equilibrium Show that...Ch. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - In 1925 Lotka and Volterra introduced the...Ch. 9.5 - Prob. 13ECh. 9.5 - At some time during a trajectory cycle, a wolf...Ch. 9 - Prob. 1GYRCh. 9 - What is a general solution? What is a particular...Ch. 9 - Prob. 3GYRCh. 9 - Prob. 4GYRCh. 9 - Prob. 5GYRCh. 9 - What is an orthogonal trajectory of a family of...Ch. 9 - Prob. 7GYRCh. 9 - Prob. 8GYRCh. 9 - Prob. 9GYRCh. 9 - Prob. 10GYRCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 31PECh. 9 - Prob. 32PECh. 9 - Prob. 35PECh. 9 - Prob. 36PECh. 9 - In Exercises 35–38, sketch part of the equation’s...Ch. 9 - Prob. 38PECh. 9 - Prob. 39PECh. 9 - Prob. 40PECh. 9 - Prob. 41PECh. 9 - Prob. 42PECh. 9 - Prob. 43PECh. 9 - Prob. 44PECh. 9 - Prob. 1AAECh. 9 - Prob. 2AAECh. 9 - Prob. 3AAECh. 9 - Prob. 4AAECh. 9 - Prob. 5AAECh. 9 - Prob. 6AAECh. 9 - Prob. 7AAECh. 9 - Prob. 8AAECh. 9 - Prob. 9AAECh. 9 - Prob. 10AAE
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