Find the general solution of the differential equation. y (4) + 2y"+y = 9+ cos(4t). NOTE: Use C1, C2, C3 and c4 for arbitrary constants. y(t) = C₁ cos(t) + c₂t cos(t) + c3 sin(t) + c₁t sin(t) + 9 + cos(3 t) 1 64 #3 X Edit

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Find the general solution of the differential equation.
y(4) + 2y" + y = 9+ cos(4t).
NOTE: Use C₁, C2, C3 and c4 for arbitrary constants.
1
y(t) =c₁ cos(t) + c₂t cos(t) + c3 sin(t) + c4 t sin(t) +9+
64
cos(3 t)
#3
X
Edit
Transcribed Image Text:Find the general solution of the differential equation. y(4) + 2y" + y = 9+ cos(4t). NOTE: Use C₁, C2, C3 and c4 for arbitrary constants. 1 y(t) =c₁ cos(t) + c₂t cos(t) + c3 sin(t) + c4 t sin(t) +9+ 64 cos(3 t) #3 X Edit
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