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Use Laplace transforms to solve the initial value problem. y"-y'-6y=0 ; y (0) = 2, y '(0) = −1 L{ƒ'(1)} = sF (s) − ƒ (0) L{f"(t)} = s²F(s) – sf (0) — ƒ '(0)

Use Laplace transforms to solve the initial value problem. y"-y'-6y=0 ; y (0) = 2, y '(0) = −1 L{ƒ'(1)} = sF (s) − ƒ (0) L{f"(t)} = s²F(s) – sf (0) — ƒ '(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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Use Laplace transforms to solve the initial value problem. y"-y' 6y=0; y (0) = 2, y '(0) = −1 L{f'(t)} = sF (s) —ƒ (0) L{ƒ¨(t)}=s²F (s) — sf (0) — ƒ '(0) -
Transcribed Image Text:Use Laplace transforms to solve the initial value problem. y"-y' 6y=0; y (0) = 2, y '(0) = −1 L{f'(t)} = sF (s) —ƒ (0) L{ƒ¨(t)}=s²F (s) — sf (0) — ƒ '(0) -
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