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Solve the system of differential equation (D² +5)x -2y =0 (a) -2x +(D+2)y =0 (D +1)x +(D –1)y = 2 (b) 3x +(D +2)y =-1 D'x -Dy =t (c) (D +3)x +(D +3)y = 2 (2D? -D-1)x -(2D +1)y =1 (d) (D-1)x + Dy =-1 D'x-2(D +D)y = sin t (e) x +Dy =0 (D +2)x +(D +1)y = sin 21 (f) 5x +(D +3)y = cos 2t Dx +z =e' (g) (D -1)x +Dy +Dz =0 x +2y +Dz =e'

Solve the system of differential equation (D² +5)x -2y =0 (a) -2x +(D+2)y =0 (D +1)x +(D –1)y = 2 (b) 3x +(D +2)y =-1 D'x -Dy =t (c) (D +3)x +(D +3)y = 2 (2D? -D-1)x -(2D +1)y =1 (d) (D-1)x + Dy =-1 D'x-2(D +D)y = sin t (e) x +Dy =0 (D +2)x +(D +1)y = sin 21 (f) 5x +(D +3)y = cos 2t Dx +z =e' (g) (D -1)x +Dy +Dz =0 x +2y +Dz =e'

Advanced Engineering Mathematics
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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H.W 13 Solve the system of differential equation (D? +5)x - 2y = 0 (a) -2x +(D +2)y =0 (D +1)x +(D -1)y 2 (b) 3x +(D +2)y =-1 D'x -Dy =t (c) (D +3)x +(D +3)y = 2 (2D? -D-1)x -(2D+1)y 1 (d) (D -1)x + Dy =-1 D'x-2(D +D)y = sin t (e) x + Dy =0 (D +2)x +(D +1)y = sin 2t (f) 5x + (D +3)y = cos 2t Dx +z =e' (g) (D-1)x + Dy +Dz =0 x +2y +Dz =e'
Transcribed Image Text:H.W 13 Solve the system of differential equation (D? +5)x - 2y = 0 (a) -2x +(D +2)y =0 (D +1)x +(D -1)y 2 (b) 3x +(D +2)y =-1 D'x -Dy =t (c) (D +3)x +(D +3)y = 2 (2D? -D-1)x -(2D+1)y 1 (d) (D -1)x + Dy =-1 D'x-2(D +D)y = sin t (e) x + Dy =0 (D +2)x +(D +1)y = sin 2t (f) 5x + (D +3)y = cos 2t Dx +z =e' (g) (D-1)x + Dy +Dz =0 x +2y +Dz =e'
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