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With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t= 5. Find the general solution y(t) (leaving the initial deposit y(0) as a free parameter). Sketch a graph of the solution for a few different choices of y(0). Does this equation have any steady states?

With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t= 5. Find the general solution y(t) (leaving the initial deposit y(0) as a free parameter). Sketch a graph of the solution for a few different choices of y(0). Does this equation have any steady states?

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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9. With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t = 5. Find the general solution y(t) (leaving the initial deposit y(0) as a free parameter). Sketch a graph of the solution for a few different choices of y(0). Does this equation have any steady states?
Transcribed Image Text:9. With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t = 5. Find the general solution y(t) (leaving the initial deposit y(0) as a free parameter). Sketch a graph of the solution for a few different choices of y(0). Does this equation have any steady states?
y(t) = y(0)eat + 0 ea(t-s)q(s) ds.
Transcribed Image Text:y(t) = y(0)eat + 0 ea(t-s)q(s) ds.
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