R Functions, Graphs, And Models 1 Differentiation 2 Applications Of Differentiation 3 Exponential And Logarithmic Functions 4 Integration 5 Applications Of Integration 6 Functions Of Several Variables CR Cumulative Review A Review Of Basic Algebra PSDT Prerequisite Skills Diagnostic Test expand_more
5.1 Consumer Surplus And Producer Surplus 5.2 Integrating Growth And Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; The Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter Questions expand_more
Problem 1E: In Exercise 1-6, find the general solution and three particular solutions.
1.
Problem 2E: In Exercise 1-6, find the general solution and three particular solutions. y=5x6 Problem 3E: In Exercise 1-6, find the general solution and three particular solutions. y=2ex+x Problem 4E: In Exercise 1-6, find the general solution and three particular solutions.
4.
Problem 5E Problem 6E: In Exercise 1-6, find the general solution and three particular solutions. y=3x+x2x4 Problem 7E Problem 8E: Show that y=xlnx5x+7 is a solution of y1x=0. Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E: 14. Let .
a. Show that is a solution of this differential equation.
b. Show that is a... Problem 15E Problem 16E: In Exercises 15-22, (a) find the general solution of each differential equation, and (b) check the... Problem 17E Problem 18E: In Exercises 15-22, (a) find the general solution of each differential equation, and (b) check the... Problem 19E Problem 20E: In Exercises 15-22, (a) find the general solution of each differential equation, and (b) check the... Problem 21E Problem 22E: In Exercises 15-22, (a) find the general solution of each differential equation, and (b) check the... Problem 23E Problem 24E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 25E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 26E Problem 27E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 28E Problem 29E Problem 30E Problem 31E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 32E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 33E Problem 34E: In Exercises 23-34, (a) find the particular solution of each differential equation as determined by... Problem 35E: Solve by separating variables.
35.
Problem 36E: Solve by separating variables.
36.
Problem 37E: Solve by separating variables.
37.
Problem 38E: Solve by separating variables.
38.
Problem 39E Problem 40E Problem 41E: Solve by separating variables. dydx=6y Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E: In Exercises 47-52, (a) write a differential equation that models the situation, and (b) find the... Problem 50E Problem 51E Problem 52E Problem 53E: 53. Growth of an Account. Debra deposits into an account that earns interest at a rate of 3.75%,... Problem 54E: Growth of an Account. Jennifer deposits A0=1200 into an account that earns 4.2% compounded... Problem 55E: Capital Expansion. Domars capital expansion model is dIdt=hkI, where I is the investment, h is the... Problem 56E Problem 57E Problem 58E: 58. Utility. The reaction R in pleasure units by a consumer receiving S units of a product can be... Problem 59E: Find the demand function given each set of elasticity conditions.
59. when
Problem 60E Problem 61E Problem 62E Problem 63E: 63. Population Growth. The City of New River had a population of 17,000 in 2002 with a continuous... Problem 64E: Population Growth. An initial population of 70 bacteria is growing continuously at a rate of 2.5%... Problem 65E: Population Growth. Before 1859, rabbits did not exist in Australia. That year, a settler released 24... Problem 66E: Population Growth. Suppose 30 sparrows are released into a region where they have no natural... Problem 67E: Exponential Growth. a. Use separation of variables to solve the differential equation model of... Problem 68E: The Brentano-Stevens Law. The validity of the Weber-Fechner Law has been the subject of great debate... Problem 69E: 69. The amount of money, in Ina’s saving account after t years is modeled by the differential... Problem 70E: 70. The amount of money, in John’s savings account after t years is modeled by the differential... Problem 71E: Solve.
71.
Problem 72E: Solve.
72.
Problem 73E: Explain the difference between a constant rate of growth and a constant percentage rate of growth. Problem 74E: 74. What function is also its own derivative? Write a differential equation for which this function... Problem 75E Problem 76E: 76. Solve . Graph the particular solutions for , and .
Problem 77E format_list_bulleted