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Solve the differential equation subject to the indicated initial conditions. y" – 2 y' + 5 y = 1+t, y(0) = 0 , y' (0) = 4. y (0) = 0 O y (t) = + 흉t-끓e cos(2t) + 뚫et sin(2t) 7 51 O y(t) = 끓t+-끓e cos(26) + 뚫e sin(2t) 7 51 et cos(2t) + e sin(2t) + 1은 + = 끓 +흉t + 끓e cos(2t)-뚫et sin(2t) O y (t) = - 등 -습sin(2t)-뚫 cos(2t) 7 7 O y (t) et cos(2t) | | 5 15

Solve the differential equation subject to the indicated initial conditions. y" – 2 y' + 5 y = 1+t, y(0) = 0 , y' (0) = 4. y (0) = 0 O y (t) = + 흉t-끓e cos(2t) + 뚫et sin(2t) 7 51 O y(t) = 끓t+-끓e cos(26) + 뚫e sin(2t) 7 51 et cos(2t) + e sin(2t) + 1은 + = 끓 +흉t + 끓e cos(2t)-뚫et sin(2t) O y (t) = - 등 -습sin(2t)-뚫 cos(2t) 7 7 O y (t) et cos(2t) | | 5 15

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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Solve the differential equation subject to the indicated initial conditions. y" – 2 y' + 5 y = 1+t, y (0) = 0 , y'(0) = 4. %3| O y(t) = +t - e cos(2t) + et sin(2t) 7 51 - et cos(2t) + O y (t) = t + - et cos(2t) + e sin(2t) 7 1 7 51 5 O y (t) = +t + e' sin(2t) 7 7 51 et cos(2t) – O y (t) =D -등 -습 sin(2t) - 뚫 cos(2t) 15
Transcribed Image Text:Solve the differential equation subject to the indicated initial conditions. y" – 2 y' + 5 y = 1+t, y (0) = 0 , y'(0) = 4. %3| O y(t) = +t - e cos(2t) + et sin(2t) 7 51 - et cos(2t) + O y (t) = t + - et cos(2t) + e sin(2t) 7 1 7 51 5 O y (t) = +t + e' sin(2t) 7 7 51 et cos(2t) – O y (t) =D -등 -습 sin(2t) - 뚫 cos(2t) 15
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