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Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost - Uzela-1), = - uzeln-t), O y(t) = sint + 5ecost + 2e'sint 'sint + 5e¬cost + 7e'sint sint + 5cost + 7sint

Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost - Uzela-1), = - uzeln-t), O y(t) = sint + 5ecost + 2e'sint 'sint + 5e¬cost + 7e'sint sint + 5cost + 7sint

Advanced Engineering Mathematics
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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Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost - Uzela-1), = - uzeln-t), O y(t) = sint + 5ecost + 2e'sint 'sint + 5e¬cost + 7e'sint sint + 5cost + 7sint
Transcribed Image Text:Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost - Uzela-1), = - uzeln-t), O y(t) = sint + 5ecost + 2e'sint 'sint + 5e¬cost + 7e'sint sint + 5cost + 7sint
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