6. y" +4y' +4y=t-²e-²t, t> 0

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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Do number 6 please
In each of Problems 4 through 9, find the general solution of the
given differential equation. In Problems 9, g is an arbitrary continuous
function.
4. y" + y = tan t, 0 < t < π/2
5. y" +9y=9 sec² (31), 0<t< π/6
6. y" +4y' +4y=t-²e-²t, t> 0
7. 4y"+y = 2 sec (t/2),
8. y" - 2y + y = e¹/(1+1²)
9. y" - 5y' +6y= g(t)
-π < t < T
re
ec
O
L
is
18
Transcribed Image Text:In each of Problems 4 through 9, find the general solution of the given differential equation. In Problems 9, g is an arbitrary continuous function. 4. y" + y = tan t, 0 < t < π/2 5. y" +9y=9 sec² (31), 0<t< π/6 6. y" +4y' +4y=t-²e-²t, t> 0 7. 4y"+y = 2 sec (t/2), 8. y" - 2y + y = e¹/(1+1²) 9. y" - 5y' +6y= g(t) -π < t < T re ec O L is 18
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