(a) Show that y constants = y" - 4y + 4y = 0 Ae2t+Bte2t solves the ODE, where A and B are (b) Show that if y solves the ODE, then y = Ae2t+Bte2t Hint: Consider (e-2ty)"
(a) Show that y constants = y" - 4y + 4y = 0 Ae2t+Bte2t solves the ODE, where A and B are (b) Show that if y solves the ODE, then y = Ae2t+Bte2t Hint: Consider (e-2ty)"
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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Need help solving this problem below, with both parts a and b
Transcribed Image Text:y" - 4y + 4y = 0
(a) Show that y = Ae2t + Bte2t solves the ODE, where A and B are
constants
(b) Show that if y solves the ODE, then y = Ae²t + Bte²t
Hint: Consider (e-2ty)"
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