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Find the general solution for the following differential equation: y' - 4y = 4e4t Then find the particular solution that satisfies the initial value y(0) = 9.5. General Solution: y(t) = et Particular Solution: y(t) = (4t+9.5) (et)

Find the general solution for the following differential equation: y' - 4y = 4e4t Then find the particular solution that satisfies the initial value y(0) = 9.5. General Solution: y(t) = et Particular Solution: y(t) = (4t+9.5) (et)

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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Find the general solution for the following differential equation: y' - 4y = 4e4t Then find the particular solution that satisfies the initial value y(0) = 9.5. General Solution: y(t) = et Particular Solution: y(t) = (4t+9.5) (et)
Transcribed Image Text:Find the general solution for the following differential equation: y' - 4y = 4e4t Then find the particular solution that satisfies the initial value y(0) = 9.5. General Solution: y(t) = et Particular Solution: y(t) = (4t+9.5) (et)
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