Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Textbook Question
Chapter 11, Problem 42RE
Solving a
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Solve the general and particular solution of the first-order linear differential equation below using the methods of solving first-order linear differential equations.
Differential equations
a) y'''- y=x²-1
solve the differential equation system
Chapter 11 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. 11.1 - Checkpoint 1 Worked-out solution available at...Ch. 11.1 - Prob. 2CPCh. 11.1 - Prob. 3CPCh. 11.1 - Prob. 4CPCh. 11.1 - Prob. 1SWUCh. 11.1 - Prob. 2SWUCh. 11.1 - Prob. 3SWUCh. 11.1 - Prob. 4SWUCh. 11.1 - Prob. 5SWUCh. 11.1 - Prob. 6SWU
Ch. 11.1 - Verifying Solutions In Exercises 112, verify the...Ch. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Verifying Solutions In Exercises 1-12, verify the...Ch. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Determining Solutions In Exercises 1316, determine...Ch. 11.1 - Prob. 16ECh. 11.1 - Determining Solutions In Exercises 1720, determine...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Investment The rate of growth of an investment is...Ch. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.2 - Checkpoint 1 Worked-out solution available at...Ch. 11.2 - Prob. 2CPCh. 11.2 - Prob. 3CPCh. 11.2 - Prob. 4CPCh. 11.2 - Prob. 5CPCh. 11.2 - Prob. 6CPCh. 11.2 - Prob. 1SWUCh. 11.2 - Prob. 2SWUCh. 11.2 - Prob. 3SWUCh. 11.2 - Prob. 4SWUCh. 11.2 - Prob. 5SWUCh. 11.2 - Prob. 6SWUCh. 11.2 - Prob. 7SWUCh. 11.2 - Prob. 8SWUCh. 11.2 - Prob. 9SWUCh. 11.2 - Prob. 10SWUCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Solving a Differential Equation In Exercises 7-26,...Ch. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 33ECh. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 35ECh. 11.2 - Finding a Particular Solution In Exercises 31-38,...Ch. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Radioactive Decay The rate of decomposition of...Ch. 11.2 - Radioactive Decay The rate of decomposition of...Ch. 11.2 - Solve the differential equation. Weight Gain A...Ch. 11.2 - Prob. 1QYCh. 11.2 - Prob. 2QYCh. 11.2 - Prob. 3QYCh. 11.2 - Prob. 4QYCh. 11.2 - Prob. 5QYCh. 11.2 - Prob. 6QYCh. 11.2 - Prob. 7QYCh. 11.2 - Prob. 8QYCh. 11.2 - Prob. 9QYCh. 11.2 - Prob. 10QYCh. 11.2 - Prob. 11QYCh. 11.2 - Prob. 12QYCh. 11.2 - Prob. 13QYCh. 11.2 - Prob. 14QYCh. 11.2 - Prob. 15QYCh. 11.2 - Ignoring resistance, a sailboat starting from rest...Ch. 11.3 - Checkpoint 1 Worked-out solution available at...Ch. 11.3 - Prob. 2CPCh. 11.3 - Prob. 3CPCh. 11.3 - Prob. 1SWUCh. 11.3 - Prob. 2SWUCh. 11.3 - Prob. 3SWUCh. 11.3 - Prob. 4SWUCh. 11.3 - Prob. 5SWUCh. 11.3 - Prob. 6SWUCh. 11.3 - Prob. 7SWUCh. 11.3 - Prob. 8SWUCh. 11.3 - In Exercises 5-10, find the indefinite integral....Ch. 11.3 - Prob. 10SWUCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Solving a Linear Differential Equation In...Ch. 11.3 - Prob. 10ECh. 11.3 - Solving a Linear Differential Equation In...Ch. 11.3 - Solving a Linear Differential Equation In...Ch. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Solving a Linear Differential Equation In...Ch. 11.3 - Prob. 17ECh. 11.3 - Solving a Linear Differential Equation In...Ch. 11.3 - Using Two Methods In Exercises 19-22, solve for y...Ch. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Finding a Particular Solution In Exercises 27-34,...Ch. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Vertical Motion A falling object encounters air...Ch. 11.3 - Velocity A booster rocket carrying an observation...Ch. 11.3 - Learning Curve The management at a medical supply...Ch. 11.3 - Investment Let A he the amount in a fund earning...Ch. 11.4 - Prob. 1CPCh. 11.4 - Prob. 2CPCh. 11.4 - Checkpoint 3 Worked-out solution available at...Ch. 11.4 - Prob. 4CPCh. 11.4 - Checkpoint 5 Worked-out solution available at...Ch. 11.4 - Prob. 1SWUCh. 11.4 - Prob. 2SWUCh. 11.4 - Prob. 3SWUCh. 11.4 - Prob. 4SWUCh. 11.4 - Prob. 5SWUCh. 11.4 - Prob. 6SWUCh. 11.4 - Prob. 7SWUCh. 11.4 - Prob. 8SWUCh. 11.4 - Prob. 9SWUCh. 11.4 - Prob. 10SWUCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Advertising Awareness In Exercises 3 and 4, use...Ch. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Chemistry A wet towel hung from a clothesline to...Ch. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Biology A population of eight beavers has been...Ch. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Chemical Mixture A 100-gallon tank is full of a...Ch. 11.4 - Chemical Mixture A 200-gallon tank is half full of...Ch. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Finding a Particular Solution In Exercises 15 and...Ch. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Solving a Differential Equation In Exercises...Ch. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Solving a Linear Differential Equation In...Ch. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Safety Assume the rate of change per hour in the...Ch. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Chemical Mixture A tank contains 30 gallons of a...Ch. 11 - Chemical Mixture A tank contains 20 gallons of a...Ch. 11 - Prob. 1TYSCh. 11 - Prob. 2TYSCh. 11 - Prob. 3TYSCh. 11 - Prob. 4TYSCh. 11 - Prob. 5TYSCh. 11 - Prob. 6TYSCh. 11 - Prob. 7TYSCh. 11 - Prob. 8TYSCh. 11 - Prob. 9TYSCh. 11 - Prob. 10TYSCh. 11 - Prob. 11TYSCh. 11 - A lamb that weighs 10 pounds at birth gains weight...Ch. 11 - Prob. 13TYS
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
(Solve the differential equation. Bernoulli Equation)
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Solve the differential equation xy'=3-2y as a separable differential equation. State the answer as an explicit equation for y.
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Linear Equation
Determine whether or not the following differential equations are linear.
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Solution to the Homogeneous Linear Differential Equation
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Solve the differential equation using seperation, homogeneous, exact DE, Linear, and Bernoulli's equation or other solutions. Use a step by step solution.
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Evaluate the differential equation. Use the Linear equation of order one.
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