Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14, Problem 1PE
To determine
To discuss: The separable differential equation.
Expert Solution & Answer
Answer to Problem 1PE
The separable differential equation is explained below.
Explanation of Solution
A separable differential equation is one that can be broken into a set of separate equations of lower dimensionality by using the method of separation of variables.
Or in the other wordsa separable differential equation is one that can be written in the form of:
As shown, the above written equation can be solved by separating the variables and integrating each side as follows:
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Chapter 14 Solutions
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
Ch. 14.1 - Prob. 1PSCh. 14.1 - Prob. 2PSCh. 14.1 - Prob. 3PSCh. 14.1 - Prob. 4PSCh. 14.1 - Prob. 5PSCh. 14.1 - Prob. 6PSCh. 14.1 - Prob. 7PSCh. 14.1 - Prob. 8PSCh. 14.1 - Prob. 9PSCh. 14.1 - Prob. 10PS
Ch. 14.1 - Prob. 11PSCh. 14.1 - Prob. 12PSCh. 14.1 - Prob. 13PSCh. 14.1 - Prob. 14PSCh. 14.1 - Prob. 15PSCh. 14.1 - Prob. 16PSCh. 14.1 - Prob. 17PSCh. 14.1 - Prob. 18PSCh. 14.1 - Prob. 19PSCh. 14.1 - Prob. 20PSCh. 14.1 - Prob. 21PSCh. 14.1 - Prob. 22PSCh. 14.1 - Prob. 23PSCh. 14.1 - Prob. 24PSCh. 14.1 - Prob. 25PSCh. 14.1 - Prob. 26PSCh. 14.1 - Prob. 27PSCh. 14.1 - Prob. 28PSCh. 14.1 - Prob. 29PSCh. 14.1 - Prob. 30PSCh. 14.1 - Prob. 31PSCh. 14.1 - Prob. 32PSCh. 14.1 - Prob. 33PSCh. 14.1 - Prob. 34PSCh. 14.1 - Prob. 35PSCh. 14.1 - Prob. 36PSCh. 14.1 - Prob. 37PSCh. 14.1 - Prob. 38PSCh. 14.1 - Prob. 39PSCh. 14.1 - Prob. 40PSCh. 14.1 - Prob. 41PSCh. 14.1 - Prob. 42PSCh. 14.1 - Prob. 43PSCh. 14.1 - Prob. 44PSCh. 14.1 - Prob. 45PSCh. 14.1 - Prob. 46PSCh. 14.1 - Prob. 47PSCh. 14.1 - Prob. 48PSCh. 14.1 - Prob. 49PSCh. 14.1 - Prob. 50PSCh. 14.1 - Prob. 51PSCh. 14.1 - Prob. 52PSCh. 14.1 - Prob. 53PSCh. 14.1 - Prob. 54PSCh. 14.1 - Prob. 55PSCh. 14.1 - Prob. 56PSCh. 14.1 - Prob. 57PSCh. 14.1 - Prob. 58PSCh. 14.1 - Prob. 59PSCh. 14.1 - Prob. 60PSCh. 14.2 - Prob. 1PSCh. 14.2 - Prob. 2PSCh. 14.2 - Prob. 3PSCh. 14.2 - Prob. 4PSCh. 14.2 - Prob. 5PSCh. 14.2 - Prob. 6PSCh. 14.2 - Prob. 7PSCh. 14.2 - Prob. 8PSCh. 14.2 - Prob. 9PSCh. 14.2 - Prob. 10PSCh. 14.2 - Prob. 11PSCh. 14.2 - Prob. 12PSCh. 14.2 - Prob. 13PSCh. 14.2 - Prob. 14PSCh. 14.2 - Prob. 15PSCh. 14.2 - Prob. 16PSCh. 14.2 - Prob. 17PSCh. 14.2 - Prob. 18PSCh. 14.2 - Prob. 19PSCh. 14.2 - Prob. 20PSCh. 14.2 - Prob. 21PSCh. 14.2 - Prob. 22PSCh. 14.2 - Prob. 23PSCh. 14.2 - Prob. 24PSCh. 14.2 - Prob. 25PSCh. 14.2 - Prob. 26PSCh. 14.2 - Prob. 27PSCh. 14.2 - Prob. 28PSCh. 14.2 - Prob. 29PSCh. 14.2 - Prob. 30PSCh. 14.2 - Prob. 31PSCh. 14.2 - Prob. 32PSCh. 14.2 - Prob. 33PSCh. 14.2 - Prob. 34PSCh. 14.2 - Prob. 35PSCh. 14.2 - Prob. 36PSCh. 14.2 - Prob. 37PSCh. 14.2 - Prob. 38PSCh. 14.2 - Prob. 39PSCh. 14.2 - Prob. 40PSCh. 14.2 - Prob. 41PSCh. 14.2 - Prob. 42PSCh. 14.2 - Prob. 43PSCh. 14.2 - Prob. 44PSCh. 14.2 - Prob. 45PSCh. 14.2 - Prob. 46PSCh. 14.2 - Prob. 47PSCh. 14.2 - Prob. 48PSCh. 14.2 - Prob. 49PSCh. 14.2 - Prob. 50PSCh. 14.2 - Prob. 51PSCh. 14.2 - Prob. 52PSCh. 14.2 - Prob. 53PSCh. 14.2 - Prob. 54PSCh. 14.2 - Prob. 55PSCh. 14.2 - Prob. 56PSCh. 14.2 - Prob. 57PSCh. 14.2 - Prob. 58PSCh. 14.2 - Prob. 59PSCh. 14.2 - Prob. 60PSCh. 14.3 - Prob. 1PSCh. 14.3 - Prob. 2PSCh. 14.3 - Prob. 3PSCh. 14.3 - Prob. 4PSCh. 14.3 - Prob. 5PSCh. 14.3 - Prob. 6PSCh. 14.3 - Prob. 7PSCh. 14.3 - Prob. 8PSCh. 14.3 - Prob. 9PSCh. 14.3 - Prob. 10PSCh. 14.3 - Prob. 11PSCh. 14.3 - Prob. 12PSCh. 14.3 - Prob. 13PSCh. 14.3 - Prob. 14PSCh. 14.3 - Prob. 15PSCh. 14.3 - Prob. 16PSCh. 14.3 - Prob. 17PSCh. 14.3 - Prob. 18PSCh. 14.3 - Prob. 19PSCh. 14.3 - Prob. 20PSCh. 14.3 - Prob. 21PSCh. 14.3 - Prob. 22PSCh. 14.3 - Prob. 23PSCh. 14.3 - Prob. 24PSCh. 14.3 - Prob. 25PSCh. 14.3 - Prob. 26PSCh. 14.3 - Prob. 27PSCh. 14.3 - Prob. 28PSCh. 14.3 - Prob. 29PSCh. 14.3 - Prob. 30PSCh. 14.3 - Prob. 31PSCh. 14.3 - Prob. 32PSCh. 14.3 - Prob. 33PSCh. 14.3 - Prob. 34PSCh. 14.3 - Prob. 35PSCh. 14.3 - Prob. 36PSCh. 14.3 - Prob. 37PSCh. 14.3 - Prob. 38PSCh. 14.3 - Prob. 39PSCh. 14.3 - Prob. 40PSCh. 14.3 - Prob. 41PSCh. 14.3 - Prob. 42PSCh. 14.3 - Prob. 43PSCh. 14.3 - Prob. 44PSCh. 14.3 - Prob. 45PSCh. 14.3 - Prob. 46PSCh. 14.3 - Prob. 47PSCh. 14.3 - Prob. 48PSCh. 14.3 - Prob. 49PSCh. 14.3 - Prob. 50PSCh. 14.3 - Prob. 51PSCh. 14.3 - Prob. 52PSCh. 14.3 - Prob. 53PSCh. 14.3 - Prob. 54PSCh. 14.3 - Prob. 55PSCh. 14.3 - Prob. 56PSCh. 14.3 - Prob. 57PSCh. 14.3 - Prob. 58PSCh. 14.3 - Prob. 59PSCh. 14.3 - Prob. 60PSCh. 14 - Prob. 1PECh. 14 - Prob. 2PECh. 14 - Prob. 3PECh. 14 - Prob. 4PECh. 14 - Prob. 5PECh. 14 - Prob. 6PECh. 14 - Prob. 7PECh. 14 - Prob. 8PECh. 14 - Prob. 9PECh. 14 - Prob. 10PECh. 14 - Prob. 11PECh. 14 - Prob. 12PECh. 14 - Prob. 13PECh. 14 - Prob. 14PECh. 14 - Prob. 15PECh. 14 - Prob. 16PECh. 14 - Prob. 17PECh. 14 - Prob. 18PECh. 14 - Prob. 19PECh. 14 - Prob. 20PECh. 14 - Prob. 1SPCh. 14 - Prob. 2SPCh. 14 - Prob. 3SPCh. 14 - Prob. 4SPCh. 14 - Prob. 5SPCh. 14 - Prob. 6SPCh. 14 - Prob. 7SPCh. 14 - Prob. 8SPCh. 14 - Prob. 9SPCh. 14 - Prob. 10SPCh. 14 - Prob. 11SPCh. 14 - Prob. 12SPCh. 14 - Prob. 13SPCh. 14 - Prob. 14SPCh. 14 - Prob. 15SPCh. 14 - Prob. 16SPCh. 14 - Prob. 17SPCh. 14 - Prob. 18SPCh. 14 - Prob. 19SPCh. 14 - Prob. 20SPCh. 14 - Prob. 21SPCh. 14 - Prob. 22SPCh. 14 - Prob. 23SPCh. 14 - Prob. 24SPCh. 14 - Prob. 25SPCh. 14 - Prob. 26SPCh. 14 - Prob. 27SPCh. 14 - Prob. 28SPCh. 14 - Prob. 29SPCh. 14 - Prob. 30SPCh. 14 - Prob. 31SPCh. 14 - Prob. 32SPCh. 14 - Prob. 33SPCh. 14 - Prob. 34SPCh. 14 - Prob. 35SPCh. 14 - Prob. 36SPCh. 14 - Prob. 37SPCh. 14 - Prob. 38SPCh. 14 - Prob. 39SPCh. 14 - Prob. 40SPCh. 14 - Prob. 41SPCh. 14 - Prob. 42SPCh. 14 - Prob. 43SPCh. 14 - Prob. 44SPCh. 14 - Prob. 45SPCh. 14 - Prob. 46SPCh. 14 - Prob. 47SPCh. 14 - Prob. 48SPCh. 14 - Prob. 49SPCh. 14 - Prob. 50SPCh. 14 - Prob. 51SPCh. 14 - Prob. 52SPCh. 14 - Prob. 53SPCh. 14 - Prob. 54SPCh. 14 - Prob. 55SPCh. 14 - Prob. 56SPCh. 14 - Prob. 57SPCh. 14 - Prob. 58SPCh. 14 - Prob. 59SPCh. 14 - Prob. 60SP
Knowledge Booster
Learn more about
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
- According to the solution in Exercise 58 of the differential equation for Newtons law of cooling, what happens to the temperature of an object after it has been in a surrounding medium with constant temperature for a long period of time? How well does this agree with reality?arrow_forwardFind the general solution for each differential equation. Verify that each solution satisfies the original differential equation. dydx=y2e2xarrow_forward
Recommended textbooks for you
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY