3. fy dy + 10g = e + dt +7 -2t
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 3 part
Transcribed Image Text:In Exercises 1-3, find the general solution of the given differential equation.
d²y
1.
d²y
dt²
+6- +8y=2e-3t
,dy
dt
2.
dy
dt
+4 +13y=et
dt²
3.
dt2
+7 +10y = e
dy
dt
-2t
Transcribed Image Text:/w/
day
dp + 7 dy +loy-e²_2
+10y=e³t
dt
Auxilliary equation is
m² + 7m + 10 =0
m² +5m + 2m +10=0
m(m+5) +2(m+5) = 0
(m+a)(m+5)=0
m+2=0, m+5=0
m = -2, m = -5
-gt
-St
Jelt) = cle²³¹² + c₂e
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