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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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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)
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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