7. Find the solution of the differential equation (D' + 5D + 6)y = 0 + Cze* D. y = C;e-3x + Cze-* A. y = C;ex + Cze B. y = C;e + C;e-* C. y = Ce* 8. Find the solution of the differential equation (D* - 20° + D*)y = 0 y = C, + C,x + e*(C; + y = C, + C,x + e*(C; + Cx) y = C, + C,x? + e*(C; + А. C. Cx) y = C, + C;x + e"(C; + В. Cx) D. Cx) 9. Find the solution of the differential equation (D² - 4D + 5)y = 0 y = e"(C, cos x + Cz sin y = e(C, cos x + C, sin %3D А. C. x) y = e-"(C, cos x + Cz sin x) y = e"(C, cos x + C2 sin %3D В. x) D. x) 10. Find the solution of the differential equation (D + 8D° + 16D)y = 0 y = C, + (C; + C,x)cos y = C, + (C, + Cx)cos А. C. 3x + (C, + Cx)sin 3x 2x + (C, + Cx)sin 2x y = C, + (C2 + C,x²)cos y = C, + (C2 + Cx²)cos В. D. 2x + (C, + Cx²)sin 2x 3x + (C, + C;x²)sin 3x
7. Find the solution of the differential equation (D' + 5D + 6)y = 0 + Cze* D. y = C;e-3x + Cze-* A. y = C;ex + Cze B. y = C;e + C;e-* C. y = Ce* 8. Find the solution of the differential equation (D* - 20° + D*)y = 0 y = C, + C,x + e*(C; + y = C, + C,x + e*(C; + Cx) y = C, + C,x? + e*(C; + А. C. Cx) y = C, + C;x + e"(C; + В. Cx) D. Cx) 9. Find the solution of the differential equation (D² - 4D + 5)y = 0 y = e"(C, cos x + Cz sin y = e(C, cos x + C, sin %3D А. C. x) y = e-"(C, cos x + Cz sin x) y = e"(C, cos x + C2 sin %3D В. x) D. x) 10. Find the solution of the differential equation (D + 8D° + 16D)y = 0 y = C, + (C; + C,x)cos y = C, + (C, + Cx)cos А. C. 3x + (C, + Cx)sin 3x 2x + (C, + Cx)sin 2x y = C, + (C2 + C,x²)cos y = C, + (C2 + Cx²)cos В. D. 2x + (C, + Cx²)sin 2x 3x + (C, + C;x²)sin 3x
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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Kindly please answer this
Transcribed Image Text:6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0
x - y + 6 In(7 - x - 2y)
x + y - 6 In(7 - x - 2y)
А.
C.
= C
= C
x - y - 6 In(7 - x - 2y)
x + y + 6 In(7 - x - 2y)
В.
D.
= C
= C
7. Find the solution of the differential equation (D' + 5D + 6)y = 0
A. y = C;ex + C,e?x
B. y = C;ex + Cze-2x
C. y = C,e-3x + Cze?x
D. y = C,e-3x + Cze-2x
8. Find the solution of the differential equation (D* - 2D° + D*)y = 0
y = C, + C>x + e*(C; +
y = C, + C,x + e*(C, +
C.
Cax²)
А.
C.x)
y = C, + C,x + e*(C; +
В.
y = C, + C;x? + e*(C; +
Cax)
D.
C,x)
9. Find the solution of the differential equation (D - 4D + 5)y = 0
A.
x)
y = e"(C, cos x + Cz sin
y = e?*(C, cos x + C2 sin
y = e-2*(C, cos x + C, sin
C.
x)
В.
x)
y = e-3*(C, cos x + C2 sin
x)
D.
10. Find the solution of the differential equation (D° + 8D° + 16DY
= 0
y = C, + (C, + C;x)cos
y = C,+ (C, + C;x)cos
C.
А.
3х + (C, + Cx)sin 3x
y = C, + (C2 + Cx?)cos
2x + (C4 + C;x)sin 2x
y = C, + (C2 + C;x?)cos
В.
2x + (C4 + C;x²)sin 2x
D.
3x + (C, + Csx²)sin 3x
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