What is the solution to 4 -2 = [1] dY dt Y? Y = G₁e¹¹ [3] + G₂¹ (¹[2] + [_]) 2 Y - GLE" [3] + G₂ct ( [3] + [-]) = ¹ °Y=Get [1] + - C₂e¹t (t[!] + [i]) OY-G² []++ (¹ [] = Get t []) 2

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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Subject: calculus 

 

What is the solution to
dY
4
*-[1] Y
Y?
dt
0
O
2
Y=Ge4 [3] + c₂e¹
2
( [3] + [-])
t
0
Y = Get [] + G₂¹ (t[]+[_])
•(•[B]-[-])
Y = C₁e¹t
+ c₂e¹t (t [3] + [i])
Y = C₁e¹t
2
[3]
+c₂e¹t
[1] + c₂e²t
Transcribed Image Text:What is the solution to dY 4 *-[1] Y Y? dt 0 O 2 Y=Ge4 [3] + c₂e¹ 2 ( [3] + [-]) t 0 Y = Get [] + G₂¹ (t[]+[_]) •(•[B]-[-]) Y = C₁e¹t + c₂e¹t (t [3] + [i]) Y = C₁e¹t 2 [3] +c₂e¹t [1] + c₂e²t
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