Unformatted text preview: , such as time t ; and which are dependent , such as position x = x ( t ), velocity v = v ( t ), or population size P = P ( t ). #2: Articulate the principle that underlies the problem under investigation. This can be used to articulate the diFerential equation. ±or example, Newton’s Second Law of Motion states F = m a ; this is a diFerential equation. #3: Identify the initial conditions. ±or example, when dealing with position, we can write x ( t ) = x as the initial position and v ( t ) = v as the initial velocity. Whenever we have (1) a diFerential equation and (2) a list of initial conditions we call this an initial value problem ....
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue.
- Spring '09
- Rate Of Change