Question 4. Money flows to the new Ponzi scheme at a rate proportional to the square root of the total invested capital, i.e., Ay(t) = √yªt, where y(t) is the total capital invested and t is time. It starts at t = 0 with just $100 of total capital, i.e., y(0) = 100 a) Write down the differential equation for y(t) and specify the initial condition. b) Find y(t) c) The Ponzi scheme bubble will burst when the total investment reaches $1,000,000. When will this happen?
Question 4. Money flows to the new Ponzi scheme at a rate proportional to the square root of the total invested capital, i.e., Ay(t) = √yªt, where y(t) is the total capital invested and t is time. It starts at t = 0 with just $100 of total capital, i.e., y(0) = 100 a) Write down the differential equation for y(t) and specify the initial condition. b) Find y(t) c) The Ponzi scheme bubble will burst when the total investment reaches $1,000,000. When will this happen?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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