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 and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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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