21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation for the first-order linear equation ay+by = 0, where a and b are constants with a 0. b. Use the result of part (a) to find the general solution.
21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation for the first-order linear equation ay+by = 0, where a and b are constants with a 0. b. Use the result of part (a) to find the general solution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 32RE
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Transcribed Image Text:21. First-Order Constant-Coefficient Equations.
a. Substituting y = ert, find the auxiliary equation for the first-order linear
equation
ay+by = 0,
where a and b are constants with a 0.
b. Use the result of part (a) to find the general solution.
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