IM 4 1. Find the general solution y" – 5y' + 4y = e3t + 4t? + 4t – 5+ 5 cos(2t) 2. Find the general solution y" + 2y" + y' = 5e-t sin(t) + 3+ 7tet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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IM 4
1. Find the general solution y" – 5y' + 4y = e3t + 4t2 + 4t – 5+ 5 cos(2t)
2. Find the general solution y" + 2y" + y' = 5e-t sin(t) + 3 + 7tet
IM 5
1. Find the general solution y" + y = tan t + 3t – 1
2. Find the general solution (x2 – 1)y" + 4xy' + 2y = ; y(0) = 1, y'(0) = -5
x+1
Transcribed Image Text:IM 4 1. Find the general solution y" – 5y' + 4y = e3t + 4t2 + 4t – 5+ 5 cos(2t) 2. Find the general solution y" + 2y" + y' = 5e-t sin(t) + 3 + 7tet IM 5 1. Find the general solution y" + y = tan t + 3t – 1 2. Find the general solution (x2 – 1)y" + 4xy' + 2y = ; y(0) = 1, y'(0) = -5 x+1
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