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shad0w0f3vil
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ok i understand that, we did that sort of thing in class last week. I will look at that... thanks
Personal Wealth Model using DE's
- Thread starter shad0w0f3vil
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Homework Help Overview
The discussion revolves around developing a mathematical model for personal wealth using differential equations. The original poster presents a differential equation that describes the rate of change of wealth over time, incorporating factors such as salary, expenses, and interest rates.
Discussion Character
- Exploratory, Mathematical reasoning, Problem interpretation, Assumption checking
Approaches and Questions Raised
- Participants explore the nature of the given differential equation and discuss whether it should be differentiated or integrated. There are questions about the assumptions regarding the constants in the equation and the methods to solve it, including separation of variables and integration techniques.
Discussion Status
The discussion is active, with participants providing guidance on the integration process and clarifying the steps needed to derive the wealth function from the differential equation. There is recognition of the need for an initial condition to solve for the constant of integration.
Contextual Notes
Participants note that the initial condition for wealth at time t=0 is not explicitly stated, leading to discussions about whether to assume zero savings or to denote it as an initial amount W0.