1. If the method of undetermined coefficient is used, which of the following is the form of a particular solution of the differential equation y" - 2y" + 4y - 8y = 15e +32 sin(2x). (Hint. m³ -2m² + 4m-8= (m - 2) (m² + 4)) (A) yp(x) = Axe + Bx cos(2x) + Cx sin(2x) (B) y(x) = Ae² + B cos(2x) (C) yp(x) = A x²e + Bx cos(2x) + Cx sin(2x) (D) yp(x) = Ae* + Cx sin(2x) → (E) yp(x) = Ae* + Bx cos(2x) + Cx sin(2x)
1. If the method of undetermined coefficient is used, which of the following is the form of a particular solution of the differential equation y" - 2y" + 4y - 8y = 15e +32 sin(2x). (Hint. m³ -2m² + 4m-8= (m - 2) (m² + 4)) (A) yp(x) = Axe + Bx cos(2x) + Cx sin(2x) (B) y(x) = Ae² + B cos(2x) (C) yp(x) = A x²e + Bx cos(2x) + Cx sin(2x) (D) yp(x) = Ae* + Cx sin(2x) → (E) yp(x) = Ae* + Bx cos(2x) + Cx sin(2x)
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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Transcribed Image Text:1.
If the method of undetermined coefficient is used, which of the following is the
form of a particular solution of the differential equation
y" - 2y" + 4y - 8y = 15e +32 sin(2x).
(Hint. m³ -2m² + 4m-8= (m2) (m² + 4))
(A) yp(x) = Axe + Bx cos(2x) + Cx sin(2x)
(B) y(x) = Ae* + B cos(2x)
(C) yp(x) = Ax² e + Bx cos(2x) + Cx sin(2x)
(D) yp(x) = Ae* + Cx sin(2x)
→ (E) yp(x) = Ae* + Bx cos(2x) + Cx sin(2x)
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