1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
6.1 Slope Fields And Euler's Method 6.2 Growth And Decay 6.3 Separation Of Variables 6.4 The Logistic Equation 6.5 First-order Linear Differential Equations 6.6 Predator-prey Differential Equations Chapter Questions expand_more
Problem 1E: Separation of Variables Determine whether each differential equation is separable. (a) y=2x5yy (b)... Problem 2E Problem 3E: Finding a General Solution Using Separation of Variables In Exercises 5-16, find the general... Problem 4E: Finding a General Solution Using Separation of Variables In Exercises 5-16, find the general... Problem 5E: Finding a General Solution Using Separation of Variables In Exercises 5-16, find the general... Problem 6E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 7E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 8E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 9E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 10E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 11E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 12E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 13E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 14E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 15E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 16E: Finding a General Solution Using Separation of Variables In Exercises 3-16, find the general... Problem 17E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 18E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 19E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 20E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 21E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 22E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 23E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 24E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 25E: Finding a Particular Solution Using Separation of Variables III Exercises 17-26, find the particular... Problem 26E Problem 27E: Finding a Particular Solution Curve In Exercises 27-30, find an equation of the curve that passes... Problem 28E: Finding a Particular Solution Curve In Exercises 27-30, find an equation of the curve that passes... Problem 29E Problem 30E: Finding a Particular Solution Curve In Exercises 27-50, find an equation of the curve that passes... Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E: Radioactive Decay The rate of decomposition of radioactive radium is proportional to the amount... Problem 40E: Chemical Reaction In a chemical reaction, a certain compound changes into another compound at a rate... Problem 41E Problem 42E Problem 43E Problem 44E: Slope Field In Exercises 41-44, (a) write a differential equation for the statement, (b) match the... Problem 45E: Weight Gain A calf that weighs 60 pounds at birth gains weight at the rate dw/dt=k(1200w), where w... Problem 46E: Weight Gain A goat that weighs 7 pounds at birth gains weight at the rate dw/dt=k(250w), where w is... Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E: Biology At any time t, the rate of growth of the population. N of deer in a state park is... Problem 54E: Sales Growth The rate of change in sales S (in thousands of units) of a new product is proportional... Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E: Using a Gompertz Growth Model In Exercises 59 and 60, use the Gompertz growth model described on... Problem 61E: Biology A population of eight beavers has been introduced into a new wetlands area. Biologists... Problem 62E: Biology A population of 30 rabbits has been introduced into a new region. It is estimated that die... Problem 63E Problem 64E Problem 65E: Chemical Mixture A 100-gallon lank is full of a solution containing 25 pounds of a concentrate.... Problem 66E: Chemical Mixture A 200-gallon tank is half full of distilled water. At time t=0, a solution... Problem 67E Problem 68E: Snow Removal The rate of change in the number of miles s of road cleared per hour by a snowplow is... Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E: Investment A large corporation starts at time t=0 to invest part of its receipts at a rate of P... Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E: Determining If a Function Is Homogeneous In Exercises 87-94, determine whether the Function is... Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E: True or False? In Exercises 101-103, determine whether the statement is true or false. If it is... Problem 102E Problem 103E Problem 104E format_list_bulleted