Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y = C₁e(-3x) + C2e(-2x) + 6xe(-3x) + 5e(2x) O B.y = C₁e(3x) + C2e(2x) - 6xe(3x) - 5e(-2x) O C. y = C₁e(3x) + C2e(2x) + 6xe(3x) + 5e(-2x) OD.y = C₁e(-3x) + C₂e(-2x) - 6xe(-3x) - 5e(2x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x
O A. y = C₁e(-3x) + C2e(-2x) + 6xe(-3x) + 5e(2x)
O B.y = C₁e(3x) + C2e(2x) - 6xe(3x) - 5e(-2x)
O C. y = C₁e(3x) + C2e(2x) + 6xe(3x) + 5e(-2x)
OD.y = C₁e(-3x) + C₂e(-2x) - 6xe(-3x) - 5e(2x)
Transcribed Image Text:Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y = C₁e(-3x) + C2e(-2x) + 6xe(-3x) + 5e(2x) O B.y = C₁e(3x) + C2e(2x) - 6xe(3x) - 5e(-2x) O C. y = C₁e(3x) + C2e(2x) + 6xe(3x) + 5e(-2x) OD.y = C₁e(-3x) + C₂e(-2x) - 6xe(-3x) - 5e(2x)
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