Calculus
Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 14.2, Problem 51PS

a.

To determine

To find: The given equation is homogenous or not.

b.

To determine

To find: The solution of the differential equation.

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Find the general solution to the differential equation
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Exercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.

Chapter 14 Solutions

Calculus

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
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