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A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x). Determine the differential equation. O A. (D³ + 4D²-62D + 360)y = 0 O B. (D3+ 4D²+25D + 115)y = 0 OC. (D³-2D² +68D + 112)y = 0 O D. (D3+6D² +76D + 136)y = 0

A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x). Determine the differential equation. O A. (D³ + 4D²-62D + 360)y = 0 O B. (D3+ 4D²+25D + 115)y = 0 OC. (D³-2D² +68D + 112)y = 0 O D. (D3+6D² +76D + 136)y = 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x). Determine the differential equation. O A. (D³ + 4D²-62D + 360)y = 0 O B. (D3+ 4D²+25D + 115)y = 0 OC. (D³-2D² +68D + 112)y = 0 O D. (D3+6D² +76D + 136)y = 0
Transcribed Image Text:A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x). Determine the differential equation. O A. (D³ + 4D²-62D + 360)y = 0 O B. (D3+ 4D²+25D + 115)y = 0 OC. (D³-2D² +68D + 112)y = 0 O D. (D3+6D² +76D + 136)y = 0
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