3.1 Evaluate y"-10y'+9y=5t y(t)-50 +51 +31 e⁹t - 2et t 81 81 Option 1 y(0)=-1_y'(0)=2 y(t)= 81 Option 2 eºt - 2e-t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show complete and LOGICAL SOLUTION. Use the whole value for substitution. BOX the final answer/s.

3.
Evaluate y"-10y'+9y=5t
50
31
+ t+ e⁹t - 2et
81 9 81
e⁹t + 2et
Option 1
50 5
y(t)= + t
81 81
Option 3
31
81
y(0)=-1 y'(0)=2
3
50
y(t)=;
81
Option 2
12
5
81
e⁹t - 2e-t
Transcribed Image Text:3. Evaluate y"-10y'+9y=5t 50 31 + t+ e⁹t - 2et 81 9 81 e⁹t + 2et Option 1 50 5 y(t)= + t 81 81 Option 3 31 81 y(0)=-1 y'(0)=2 3 50 y(t)=; 81 Option 2 12 5 81 e⁹t - 2e-t
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