Let - 4 -: d²y * - 5y = 0, suppose the solution has the form y = e1x . dx2 dx Find the Characteristic Equation of å and find the roots of the equation. O a. 12 – 41 – 5 = 0, 1 = –1, 1 = 5 | O b. 12 + 42 – 5y = 0, 1 = –1, 1 = –5 O c. 12 + 42 + 5 = 0, 1 = 1, à = -5 O d. 12 + 42 – 5 = 0, 1 = -1, 1 = 4
Let - 4 -: d²y * - 5y = 0, suppose the solution has the form y = e1x . dx2 dx Find the Characteristic Equation of å and find the roots of the equation. O a. 12 – 41 – 5 = 0, 1 = –1, 1 = 5 | O b. 12 + 42 – 5y = 0, 1 = –1, 1 = –5 O c. 12 + 42 + 5 = 0, 1 = 1, à = -5 O d. 12 + 42 – 5 = 0, 1 = -1, 1 = 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 27E
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Transcribed Image Text:Let
dx2
- 4 - 5y = 0, suppose the solution has the form y = e^*.
dy
dx
Find the Characteristic Equation of å and find the roots of the equation.
a. λ-4λ-5-0 , λ = -1, λ 5
O b. 12 + 42 – 5y = 0, i = -1, i = -5
O c. 12 + 41 + 5 = 0, 1 = 1, a = -5
%3D
O d. 12 + 42 – 5 = 0, 1 = -1, 1 = 4
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