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What is the general solution for the differential equation y" + y' = cos x + 4e¯*? A. y = Cx + C2xe~* + cos x – sin x B. y C₁x + C₂xe-x- cos x + sin x + 4e* C. y = Cıx + Cze * – cos x − sin x + 4xe-x - x-: D. y = C₁x + C₂e-x + (sin x - cos x) - 4xe-x 100 E C

What is the general solution for the differential equation y" + y' = cos x + 4e¯*? A. y = Cx + C2xe~* + cos x – sin x B. y C₁x + C₂xe-x- cos x + sin x + 4e* C. y = Cıx + Cze * – cos x − sin x + 4xe-x - x-: D. y = C₁x + C₂e-x + (sin x - cos x) - 4xe-x 100 E C

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 16CR
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7. Which of the following is the differential equation satisfied by the given by the particular solution: y = 8 + 3xe* - cos x A. (D4 + 2D3 + 3D² + D)y = 0 B. (D52D4 + 2D3 - 2D² + D)y = 0 C. (D5 +2D4 + 2D³ + 2D² + D)y = 0 D. (3D57D4 + D³ - 3D² + 2D)y = 0 8. What is the general solution for the differential equation y"+y' = cos x + 4e¯x? C₁x + C₂xe-x + cos x - sin x A. y B. y C₁x + C₂xe-x - cos x + sin x + 4e* 1 C. y = C₁x + C₂e-x - cos x -sin x + 4xe-x D. y = C₁x + C₂ex + (sin x - cos x) - 4xe-x 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y = Cıx + C2xe”* + cos x – sin x B. y = C₁e-²x - C₂еx + С3xe¯x + ²x - 2²/ C. y = C₁x + C₂ex - cos x -sin x + 4xe-x 2 D. y = C₁e²x + C₂e-x + 3xe¯* - ²x + ²/ 9 10. What is the general solution for the differential equation d5y = 72 +4d³y dx5 dx3 A. y = C₁ + C₂x + C3x² + C4 cos 2x + C5 sin 2x B. y C₁ex + C₂x + C3x² + C4 cos x - C5 sin x C. y = C₁x + C₂e-x. - cos x- -sinx + 4xe-x D. y = C₁e²x + C₂e-x + С3xe-x sin x + cos 2x 2
Transcribed Image Text:7. Which of the following is the differential equation satisfied by the given by the particular solution: y = 8 + 3xe* - cos x A. (D4 + 2D3 + 3D² + D)y = 0 B. (D52D4 + 2D3 - 2D² + D)y = 0 C. (D5 +2D4 + 2D³ + 2D² + D)y = 0 D. (3D57D4 + D³ - 3D² + 2D)y = 0 8. What is the general solution for the differential equation y"+y' = cos x + 4e¯x? C₁x + C₂xe-x + cos x - sin x A. y B. y C₁x + C₂xe-x - cos x + sin x + 4e* 1 C. y = C₁x + C₂e-x - cos x -sin x + 4xe-x D. y = C₁x + C₂ex + (sin x - cos x) - 4xe-x 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y = Cıx + C2xe”* + cos x – sin x B. y = C₁e-²x - C₂еx + С3xe¯x + ²x - 2²/ C. y = C₁x + C₂ex - cos x -sin x + 4xe-x 2 D. y = C₁e²x + C₂e-x + 3xe¯* - ²x + ²/ 9 10. What is the general solution for the differential equation d5y = 72 +4d³y dx5 dx3 A. y = C₁ + C₂x + C3x² + C4 cos 2x + C5 sin 2x B. y C₁ex + C₂x + C3x² + C4 cos x - C5 sin x C. y = C₁x + C₂e-x. - cos x- -sinx + 4xe-x D. y = C₁e²x + C₂e-x + С3xe-x sin x + cos 2x 2
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