he source function (the right hand side) of a differential equation whose characteristic ation has roots r, = 2 + 2i , r = 2 – 2i, r, = 1, r, = 1, rs = 0, r, = 0 is ) = A+ Bx + Cx² + De cos2x + Ee*, how should its particular solution be chosen? B,C,D,E, a, b,c,d, k,m are arbitrary constan ts.) A) y. = (a + bx + cx²)x + dx²e* + e2x (kcos 2x + msin2x) B) y. = (a + bx + cx?) + de* + e2*(kcos 2x + msin2x) C) y, = (a + bx + cx?)x² + de* + e²*(kcos 2x + msin2x) D) y, = (a + bx + cx²)x² + dx²e* + xe2x (kcos 2x + msin2x) %3D E) y, = (a + bx + cx²)x² + dx²ex + e2x (kcos 2x + msin2x) %3D
he source function (the right hand side) of a differential equation whose characteristic ation has roots r, = 2 + 2i , r = 2 – 2i, r, = 1, r, = 1, rs = 0, r, = 0 is ) = A+ Bx + Cx² + De cos2x + Ee*, how should its particular solution be chosen? B,C,D,E, a, b,c,d, k,m are arbitrary constan ts.) A) y. = (a + bx + cx²)x + dx²e* + e2x (kcos 2x + msin2x) B) y. = (a + bx + cx?) + de* + e2*(kcos 2x + msin2x) C) y, = (a + bx + cx?)x² + de* + e²*(kcos 2x + msin2x) D) y, = (a + bx + cx²)x² + dx²e* + xe2x (kcos 2x + msin2x) %3D E) y, = (a + bx + cx²)x² + dx²ex + e2x (kcos 2x + msin2x) %3D
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:If the source func tion (the right hand side) of a differential equation whose characteristic
equation has roots n = 2 + 2i, 1, = 2 – 2i, rz = 1, r, = 1, r5 = 0, r, = 0 is
f(x) = A+ Bx + Cx² + De2* cos2x + Ee*, how should its particular solution be chosen?
(A, B,C,D,E, a, b, c, d,k,m are arbitrary constan ts.)
A) y. = (a + bx + cx?)x + dx²e* + e2* (kcos 2x + msin2x)
B) y. = (a + bx + cx?) + de* + e2* (kcos 2x + msin2x)
C) y. = (a + bx + cx²)x² + de* + e2* (kcos 2x + msin2x)
D) y, = (a + bx + cx²)x² + dx²e* + xe2x (kcos 2x + msin2x)
E) y, = (a + bx + cx²)x² + dx²e* + e2* (kcos 2x + msin2x)
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