What is the solution of the differential equation y" - 8y + 25y = 36e“ ? %3D O y = C1e-4 cos3x + C2e-4º sin3x O y = C1e4 cos3x + C2e4 sin3x + 4e4 O y = Cie-4® cos3x + C2e-4" sin3x + 0.25e 1 O y = Ciet cos3x + C2e4" sin3x – 4e1 O y = C1e cos3x + C2e sin3x + 4e4 O y = Cet cos3x + C2et sin3x + 0.25et O y = C1e4 cos3x + C2e sin3x – 0.25e1 O y = C1e-4 cos3x + C2e-4" sin3x 0.25e1
What is the solution of the differential equation y" - 8y + 25y = 36e“ ? %3D O y = C1e-4 cos3x + C2e-4º sin3x O y = C1e4 cos3x + C2e4 sin3x + 4e4 O y = Cie-4® cos3x + C2e-4" sin3x + 0.25e 1 O y = Ciet cos3x + C2e4" sin3x – 4e1 O y = C1e cos3x + C2e sin3x + 4e4 O y = Cet cos3x + C2et sin3x + 0.25et O y = C1e4 cos3x + C2e sin3x – 0.25e1 O y = C1e-4 cos3x + C2e-4" sin3x 0.25e1
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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Transcribed Image Text:What is the solution of the differential equation y" – 8y + 25y = 36e1 ?
O y= C1e-4 cos3x + C2e-4o sin3x
%3D
4e4
O y = C1e-4 cos3x + C2e¬4* sin3x + 4e%
-4x
O y = C1e¬4" cos3x + C2e¬ 4" sin3x + 0.25e4
-4x
%3D
O y = C1e4 cos3x + C2e4 sin3x – 4e1
O y = C1e" cos3x + C2et sin3x + 4e4
4.x
O y = C1e4 cos3x + C2et sin3x + 0.25e1
%3D
O y = C1e cos3x + C2e4" sin3x – 0.25e1
-
O y = C1e-4" cos3x + C2e-4" sin3x – 0.25e1
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