Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C2, C3 and c4 for arbitrary constants. 1 y(t) = (₁ + c₂ t) cos(t) + (c3 + C₁ t) sin(t) + 7 + cos(5 t) 225

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the general solution of the differential equation.
y (4) + 2y"+y=7+ cos(5t).
NOTE: Use C₁, C₂, C3 and c₁ for arbitrary constants.
1
225
y(t) = (₁+₂ t) cos(t) + (c3+Cc₁ t) sin(t)+7+ cos(5 t)
Transcribed Image Text:* Your answer is incorrect. Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C₂, C3 and c₁ for arbitrary constants. 1 225 y(t) = (₁+₂ t) cos(t) + (c3+Cc₁ t) sin(t)+7+ cos(5 t)
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