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Which of the following is the appropriate form for a particular solution of the differential equation (D+1)²(D² + 4)y = xe¯ª + x cos(2x) ? (a) Yp(x) = (Ax² + Bx³)e¯* + (Cx + Dx²) cos(2r) + (Ex + Fx²) sin(2x) (b) Yp(x) = (Ax² + Bx³)e¬* + (Cx+ Dx²) cos(-x) + (Ex + Fx²) sin(-x) (c) Yp(x) = (Aæ² + Bx*)e¬² + (C + Dx) cos(2x) + (E+Fx) sin(2x) (d) Yp(x) = (Ax² + Ba³)e¬# + (C + Dæ) cos(-x)+ (E + Fx) sin(-x) (e) Yp(x) = (Ax+Bx²)e¯* +C cos(2r)+D sin(2x)

Which of the following is the appropriate form for a particular solution of the differential equation (D+1)²(D² + 4)y = xe¯ª + x cos(2x) ? (a) Yp(x) = (Ax² + Bx³)e¯* + (Cx + Dx²) cos(2r) + (Ex + Fx²) sin(2x) (b) Yp(x) = (Ax² + Bx³)e¬* + (Cx+ Dx²) cos(-x) + (Ex + Fx²) sin(-x) (c) Yp(x) = (Aæ² + Bx*)e¬² + (C + Dx) cos(2x) + (E+Fx) sin(2x) (d) Yp(x) = (Ax² + Ba³)e¬# + (C + Dæ) cos(-x)+ (E + Fx) sin(-x) (e) Yp(x) = (Ax+Bx²)e¯* +C cos(2r)+D sin(2x)

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.CR: Chapter 11 Review
Problem 34CR
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3. Which of the following is the appropriate form for a particular solution of the differential equation (D+1)²(D² + 4)y = xe¯ª + x cos(2.x) ? (a) Yp(x) = (Ax² + Bx³)e¬ + (Cx + Dx²) cos(2x) + (Ex + Fx²) sin(2x) Yp(x) = (Ax² + Bæ³)e= + (Cx + Dx²) cos(-x) + (Ex + Fa²) sin(-æ) Yp(x) = (Aæ² + Bx³)e¬* + (C + Dæ) cos(2x) (Ь) (c) + (E+Fx) sin(2x) (d) Yp(x) = (Ax² + Bx*)e¬" + (C+ Dx) cos(-x) + (E + Fx) sin(-x) (e) Yp(x) = (Ax+Bx²)e¬ª+C cos(2.x)+D sin(2x)
Transcribed Image Text:3. Which of the following is the appropriate form for a particular solution of the differential equation (D+1)²(D² + 4)y = xe¯ª + x cos(2.x) ? (a) Yp(x) = (Ax² + Bx³)e¬ + (Cx + Dx²) cos(2x) + (Ex + Fx²) sin(2x) Yp(x) = (Ax² + Bæ³)e= + (Cx + Dx²) cos(-x) + (Ex + Fa²) sin(-æ) Yp(x) = (Aæ² + Bx³)e¬* + (C + Dæ) cos(2x) (Ь) (c) + (E+Fx) sin(2x) (d) Yp(x) = (Ax² + Bx*)e¬" + (C+ Dx) cos(-x) + (E + Fx) sin(-x) (e) Yp(x) = (Ax+Bx²)e¬ª+C cos(2.x)+D sin(2x)
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