The complementary function(C.F.) of the differential equation(D – 6) (D+ 4)y = 6x is_ O (cı + c2x)e0 + c3e¯ 6x 4x O (ci + c2x)e + c3et O (c1 + c2x)e¬6z + c3e1z O (c1 + c2x)e¬6z -4x + C3e

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The complementary function(C.F.) of the differential equation(D – 6)²(D + 4)y = 6x is_
O (ci + c2¤)e®* + c3e°
-4x
O (cı + c2x)e + c3e°
,6x
4x
O (c1 + c2x)e¬6z
+ C3eta
4x
(cı + c2x)e-6z
+ c3e-4x
The particular integral of the differential equation (D² + 5D + 8)y = 4
is
8
4
8.
4
8.
4
Transcribed Image Text:The complementary function(C.F.) of the differential equation(D – 6)²(D + 4)y = 6x is_ O (ci + c2¤)e®* + c3e° -4x O (cı + c2x)e + c3e° ,6x 4x O (c1 + c2x)e¬6z + C3eta 4x (cı + c2x)e-6z + c3e-4x The particular integral of the differential equation (D² + 5D + 8)y = 4 is 8 4 8. 4 8. 4
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