Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) =t – 2 if 0 < t < 2 H (t) = 2t + 1 ift> 2 %3D |

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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Solve using Methods of solution to High Order Differential Equation
Or using Laplace Transform

Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where
H (t) = t – 2 if 0 <t < 2
H (t) = 2t + 1 if t > 2
Transcribed Image Text:Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) = t – 2 if 0 <t < 2 H (t) = 2t + 1 if t > 2
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