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1. (40p) Find the general solution of the 5. order linear homogeneous diferential equation. y(v) + y = 0 2. (60p) Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" - 2y' + 2y = et y(0) = 0, y'(0) = 1

1. (40p) Find the general solution of the 5. order linear homogeneous diferential equation. y(v) + y = 0 2. (60p) Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" - 2y' + 2y = et y(0) = 0, y'(0) = 1

Advanced Engineering Mathematics
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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TABLE 6.2.1 Elementary Laplace Transforms ƒ(t) = L−¹ {F(s)} eat eat sin(bt) eat cos(bt) F(s) = L {f(t)} 1 s-a b (s − a)² + b² - s-a (sa)² + b²¹ s > a s > a s > a
Transcribed Image Text:TABLE 6.2.1 Elementary Laplace Transforms ƒ(t) = L−¹ {F(s)} eat eat sin(bt) eat cos(bt) F(s) = L {f(t)} 1 s-a b (s − a)² + b² - s-a (sa)² + b²¹ s > a s > a s > a
1. (40p) Find the general solution of the 5. order linear homogeneous diferential equation. y(v) + y = 0 2. (60p) Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" - 2y' + 2y = et y(0) = 0, y'(0) = 1
Transcribed Image Text:1. (40p) Find the general solution of the 5. order linear homogeneous diferential equation. y(v) + y = 0 2. (60p) Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" - 2y' + 2y = et y(0) = 0, y'(0) = 1
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