Consider the differential equation (D³ - D² +D-1)y = 4sin x. Find yc

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.17P
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Topic: Non Homogenous DE (please solve thank you!)
Consider the differential equation (D³ - D² +D-1)y = 4sin x. Find yc
A. y = C₁ + С₂е* + С3е¯*
B. y = C₁e¯* + С₂sinx + С3cOSX
C. y = C₁e* + C₂sinhx + C3coshx
S
D. y = C₁e + C₂sinx + C3cosx
E. None of these
A
B
D
5 points
E
Clear selection
Transcribed Image Text:Consider the differential equation (D³ - D² +D-1)y = 4sin x. Find yc A. y = C₁ + С₂е* + С3е¯* B. y = C₁e¯* + С₂sinx + С3cOSX C. y = C₁e* + C₂sinhx + C3coshx S D. y = C₁e + C₂sinx + C3cosx E. None of these A B D 5 points E Clear selection
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