Elementary Differential Equations
Elementary Differential Equations
10th Edition
ISBN: 9780470458327
Author: William E. Boyce, Richard C. DiPrima
Publisher: Wiley, John & Sons, Incorporated
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 2.3, Problem 11P

(a)

To determine

The payments per month that a buyer can make in a period of 20 years and 30 years are to be determined.

(b)

To determine

The total amount of interest paid during the term of the loan in each of the cases in part (a).

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Chapter 2.3, Problem 10P
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Chapter 2 Solutions

Elementary Differential Equations

Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - Prob. 8PCh. 2.1 - Prob. 9PCh. 2.1 - Prob. 10P
Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - In each of Problems 1 through 12: Draw a direction...Ch. 2.1 - Prob. 13PCh. 2.1 - Prob. 14PCh. 2.1 - In each of Problems 13 through 20, find the...Ch. 2.1 - Prob. 16PCh. 2.1 - Prob. 17PCh. 2.1 - Prob. 18PCh. 2.1 - In each of Problems 13 through 20, find the...Ch. 2.1 - Prob. 20PCh. 2.1 - In each of Problems 21 through 23: Draw a...Ch. 2.1 - In each of Problems 21 through 23: Draw a...Ch. 2.1 - In each of Problems 21 through 23: Draw a...Ch. 2.1 - Prob. 24PCh. 2.1 - Prob. 25PCh. 2.1 - Prob. 26PCh. 2.1 - Prob. 27PCh. 2.1 - Prob. 28PCh. 2.1 - Consider the initial value problem Find the...Ch. 2.1 - Prob. 30PCh. 2.1 - Prob. 31PCh. 2.1 - Show that all solutions of 2y′ + ty = 2 [Eq. (41)...Ch. 2.1 - Show that if a and λ are positive constants, and b...Ch. 2.1 - Prob. 34PCh. 2.1 - Prob. 35PCh. 2.1 - Prob. 36PCh. 2.1 - Prob. 37PCh. 2.1 - Prob. 38PCh. 2.1 - Prob. 39PCh. 2.1 - Prob. 40PCh. 2.1 - Prob. 41PCh. 2.1 - Prob. 42PCh. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 1 through 8, solve the given...Ch. 2.2 - In each of Problems 9 through 20: Find the...Ch. 2.2 - Prob. 10PCh. 2.2 - In each of Problems 9 through 20: Find the...Ch. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - In each of Problems 9 through 20: Find the...Ch. 2.2 - Prob. 16PCh. 2.2 - In each of Problems 9 through 20: Find the...Ch. 2.2 - In each of Problems 9 through 20: Find the...Ch. 2.2 - Prob. 19PCh. 2.2 - Prob. 20PCh. 2.2 - Prob. 21PCh. 2.2 - Prob. 22PCh. 2.2 - Prob. 23PCh. 2.2 - Solve the initial value problem y′ = (2 − ex)/(3 +...Ch. 2.2 - Prob. 25PCh. 2.2 - Prob. 26PCh. 2.2 - Prob. 27PCh. 2.2 - Prob. 28PCh. 2.2 - Prob. 29PCh. 2.2 - Prob. 30PCh. 2.2 - Prob. 31PCh. 2.2 - The method outlined in Problem 30 can be used for...Ch. 2.2 - Prob. 33PCh. 2.2 - Prob. 34PCh. 2.2 - The method outlined in Problem 30 can be used for...Ch. 2.2 - The method outlined in Problem 30 can be used for...Ch. 2.2 - The method outlined in Problem 30 can be used for...Ch. 2.2 - The method outlined in Problem 30 can be used for...Ch. 2.3 - Consider a tank used in certain hydrodynamic...Ch. 2.3 - A tank initially contains 120 L of pure water. A...Ch. 2.3 - A tank originally contains 100 gal of fresh water....Ch. 2.3 - A tank with a capacity of 500 gal originally...Ch. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.3 - A home buyer can afford to spend no more than...Ch. 2.3 - A home buyer wishes to borrow $250,000 at an...Ch. 2.3 - A recent college graduate borrows $150,000 at an...Ch. 2.3 - An important tool in archeological research is...Ch. 2.3 - Suppose that a certain population has a growth...Ch. 2.3 - Suppose that a certain population satisfies the...Ch. 2.3 - Newton’s law of cooling states that the...Ch. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 19PCh. 2.3 - A ball with mass 0.15 kg is thrown upward with...Ch. 2.3 - Assume that the conditions are as in Problem 20...Ch. 2.3 - Prob. 22PCh. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - Prob. 25PCh. 2.3 - Prob. 26PCh. 2.3 - Prob. 27PCh. 2.3 - Prob. 28PCh. 2.3 - Prob. 29PCh. 2.3 - Prob. 30PCh. 2.3 - Prob. 31PCh. 2.3 - Prob. 32PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Prob. 14PCh. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Prob. 20PCh. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Prob. 27PCh. 2.4 - Prob. 28PCh. 2.4 - Prob. 29PCh. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.4 - Prob. 32PCh. 2.4 - Prob. 33PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Prob. 14PCh. 2.5 - Prob. 15PCh. 2.5 - Prob. 16PCh. 2.5 - Prob. 17PCh. 2.5 - Prob. 18PCh. 2.5 - Prob. 19PCh. 2.5 - Prob. 20PCh. 2.5 - Prob. 21PCh. 2.5 - Prob. 22PCh. 2.5 - Prob. 23PCh. 2.5 - Prob. 24PCh. 2.5 - Prob. 25PCh. 2.5 - Prob. 26PCh. 2.5 - Prob. 27PCh. 2.5 - Prob. 28PCh. 2.6 - Determine whether each of the equations in...Ch. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Determine whether each of the equations in...Ch. 2.6 - Prob. 5PCh. 2.6 - Prob. 6PCh. 2.6 - Prob. 7PCh. 2.6 - Prob. 8PCh. 2.6 - Prob. 9PCh. 2.6 - Prob. 10PCh. 2.6 - Determine whether each of the equations in...Ch. 2.6 - Determine whether each of the equations in...Ch. 2.6 - Prob. 13PCh. 2.6 - Prob. 14PCh. 2.6 - Prob. 15PCh. 2.6 - Prob. 16PCh. 2.6 - Prob. 17PCh. 2.6 - Prob. 18PCh. 2.6 - Prob. 19PCh. 2.6 - Prob. 20PCh. 2.6 - Prob. 21PCh. 2.6 - Prob. 22PCh. 2.6 - Prob. 23PCh. 2.6 - Show that if (Nx – My)/(xM – yN) = R, where R...Ch. 2.6 - In each of Problems 25 through 31, find an...Ch. 2.6 - In each of Problems 25 through 31, find an...Ch. 2.6 - Prob. 27PCh. 2.6 - Prob. 28PCh. 2.6 - Prob. 29PCh. 2.6 - In each of Problems 25 through 31, find an...Ch. 2.6 - In each of Problems 25 through 31, find an...Ch. 2.6 - Prob. 32PCh. 2.7 - In each of Problems 1 through 4: Find approximate...Ch. 2.7 - Prob. 2PCh. 2.7 - In each of Problems 1 through 4: Find approximate...Ch. 2.7 - Prob. 4PCh. 2.7 - In each of Problems 5 through 10, draw a direction...Ch. 2.7 - Prob. 6PCh. 2.7 - Prob. 7PCh. 2.7 - Prob. 8PCh. 2.7 - Prob. 9PCh. 2.7 - Prob. 10PCh. 2.7 - Prob. 11PCh. 2.7 - Prob. 12PCh. 2.7 - Prob. 13PCh. 2.7 - Prob. 14PCh. 2.7 - Prob. 15PCh. 2.7 - Prob. 16PCh. 2.7 - Prob. 17PCh. 2.7 - Prob. 18PCh. 2.7 - Prob. 19PCh. 2.7 - Convergence of Euler’s Method. It can be shown...Ch. 2.7 - Prob. 21PCh. 2.7 - Prob. 22PCh. 2.7 - Prob. 23PCh. 2.8 - Prob. 1PCh. 2.8 - Prob. 2PCh. 2.8 - Prob. 3PCh. 2.8 - Prob. 4PCh. 2.8 - Prob. 5PCh. 2.8 - Prob. 6PCh. 2.8 - Prob. 7PCh. 2.8 - Prob. 8PCh. 2.8 - Prob. 9PCh. 2.8 - Prob. 10PCh. 2.8 - Prob. 11PCh. 2.8 - Prob. 12PCh. 2.8 - Prob. 13PCh. 2.8 - Prob. 14PCh. 2.8 - Prob. 15PCh. 2.8 - Prob. 16PCh. 2.8 - Prob. 17PCh. 2.8 - Prob. 18PCh. 2.8 - Prob. 19PCh. 2.9 - Prob. 1PCh. 2.9 - Prob. 2PCh. 2.9 - Prob. 3PCh. 2.9 - Prob. 4PCh. 2.9 - Prob. 5PCh. 2.9 - Prob. 6PCh. 2.9 - Find the effective annual yield of a bank account...Ch. 2.9 - An investor deposits $1000 in an account paying...Ch. 2.9 - A certain college graduate borrows $8000 to buy a...Ch. 2.9 - Prob. 10PCh. 2.9 - Prob. 11PCh. 2.9 - Prob. 12PCh. 2.9 - Prob. 13PCh. 2.9 - Prob. 14PCh. 2 - Prob. 1MPCh. 2 - Prob. 2MPCh. 2 - In each of Problems 1 through 32, solve the given...Ch. 2 - Prob. 4MPCh. 2 - Prob. 5MPCh. 2 - Prob. 6MPCh. 2 - Prob. 7MPCh. 2 - Prob. 8MPCh. 2 - Prob. 9MPCh. 2 - Prob. 10MPCh. 2 - Prob. 11MPCh. 2 - Prob. 12MPCh. 2 - Prob. 13MPCh. 2 - Prob. 14MPCh. 2 - Prob. 15MPCh. 2 - Prob. 16MPCh. 2 - Prob. 17MPCh. 2 - Prob. 18MPCh. 2 - Prob. 19MPCh. 2 - Prob. 20MPCh. 2 - Prob. 21MPCh. 2 - Prob. 22MPCh. 2 - Prob. 23MPCh. 2 - Prob. 24MPCh. 2 - Prob. 25MPCh. 2 - Prob. 26MPCh. 2 - Prob. 27MPCh. 2 - Prob. 28MPCh. 2 - Prob. 29MPCh. 2 - Prob. 30MPCh. 2 - Prob. 31MPCh. 2 - Prob. 32MPCh. 2 - Prob. 33MPCh. 2 - Prob. 34MPCh. 2 - Prob. 35MPCh. 2 - Prob. 36MPCh. 2 - Prob. 37MPCh. 2 - Prob. 38MPCh. 2 - Prob. 39MPCh. 2 - Prob. 40MPCh. 2 - Prob. 41MPCh. 2 - Prob. 42MPCh. 2 - Prob. 43MPCh. 2 - Prob. 44MPCh. 2 - Prob. 45MPCh. 2 - Prob. 46MPCh. 2 - Prob. 47MPCh. 2 - Prob. 48MPCh. 2 - Prob. 49MPCh. 2 - Prob. 50MPCh. 2 - Prob. 51MP
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