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Determine the homogeneous solution of the ODE y" - 8y" + y' + 42y = 2e^3x + 1 a. C1*e^(-2x) + C2*e^(3x) + C3*e^(7x) O b. None of the choices O c. C1*e^(2x) + C2*e^(-3x) + C3*e^(-4x) O d. C1*e^(x) + C2*xe^(x) + C3*e^(-7x) O e. C1*e^(-x) + C2*xe^(-x) + C3*e^(4x)

Determine the homogeneous solution of the ODE y" - 8y" + y' + 42y = 2e^3x + 1 a. C1*e^(-2x) + C2*e^(3x) + C3*e^(7x) O b. None of the choices O c. C1*e^(2x) + C2*e^(-3x) + C3*e^(-4x) O d. C1*e^(x) + C2*xe^(x) + C3*e^(-7x) O e. C1*e^(-x) + C2*xe^(-x) + C3*e^(4x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the homogeneous solution of the ODE y" - 8y" + y' + 42y = 2e^3x + 1 a. C1*e^(-2x) + C2*e^(3x) + C3*e^(7x) O b. None of the choices O c. C1*e^(2x) + C2*e^(-3x) + C3*e^(-4x) O d. C1*e^(x) + C2*xe^(x) + C3*e^(-7x) O e. C1*e^(-x) + C2*xe^(-x) + C3*e^(4x)
Transcribed Image Text:Determine the homogeneous solution of the ODE y" - 8y" + y' + 42y = 2e^3x + 1 a. C1*e^(-2x) + C2*e^(3x) + C3*e^(7x) O b. None of the choices O c. C1*e^(2x) + C2*e^(-3x) + C3*e^(-4x) O d. C1*e^(x) + C2*xe^(x) + C3*e^(-7x) O e. C1*e^(-x) + C2*xe^(-x) + C3*e^(4x)
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