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1. Find the general solution of the 5. order linear homogeneous diferential equation. y(v) - 3y(iv) = 0

1. Find the general solution of the 5. order linear homogeneous diferential equation. y(v) - 3y(iv) = 0

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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1. 2. Find the general solution of the 5. order linear homogeneous diferential equation. y (v) - 3y(iv) = 0 Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" + 4y = 12 y(0) = 8, y'(0) = −4 Note: Your solutions should be written in detail.(Partial fractions, Laplace transforms) TABLE 6.2.1 Elementary Laplace Transforms ƒ(t) = L−¹ {F(s)} 1. 1 2. eat 3. t", n a positive integer 4. cos(at) 5. sin(at) F(s) = L {f(t)} 1 9 1 s-a n! sn+1 " s> 0 S s² + a²² a s² + a²² s> a S> 0 S> 0 S> 0
Transcribed Image Text:1. 2. Find the general solution of the 5. order linear homogeneous diferential equation. y (v) - 3y(iv) = 0 Solve the given initial value problem using LAPLACE TRANSFORMS. The solutions with different methods won't be accepted. y" + 4y = 12 y(0) = 8, y'(0) = −4 Note: Your solutions should be written in detail.(Partial fractions, Laplace transforms) TABLE 6.2.1 Elementary Laplace Transforms ƒ(t) = L−¹ {F(s)} 1. 1 2. eat 3. t", n a positive integer 4. cos(at) 5. sin(at) F(s) = L {f(t)} 1 9 1 s-a n! sn+1 " s> 0 S s² + a²² a s² + a²² s> a S> 0 S> 0 S> 0
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