2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t (-96e Option 1 O Option 2 y(t)(-96e -2t +96e-2t+10te 2tt²e-²) 25 Option 3 -2t+-10te-2t 25t²e-2t) +96e

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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Show complete and logical SOLUTION. Use the whole value for substitution.BOX the final answer/s.

2.
Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2
1
y(0) 125
A) y(1) 25 (96e2+96e-2-10te-2-2²-2)
-2t
(-96e
Option 1
O Option 2
y(t)(-96e -2t +96e-2t+10te 2tt²e-²)
25
Option 3
-2t+-10te-2t 25t²e-2t)
+96e
Transcribed Image Text:2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t (-96e Option 1 O Option 2 y(t)(-96e -2t +96e-2t+10te 2tt²e-²) 25 Option 3 -2t+-10te-2t 25t²e-2t) +96e
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