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Unformatted text preview: indicate on it the equilibrium solutions and their stability. Consider then the population with initial condition P (0) = 4 and draw its evolution. What happens to this polulation as t increases? Verify your answer by calculating the exact solution for the given initial condition. 3 NAME: 4. [20 points] Solve the following initial value problem for x = x ( t ): dx dt + tx = tet 2 / 2 ; x (0) =1 4 NAME: 5. [20 points] Find the general solution of the following ODE for y = y ( x ): d 3 y dt 32 π d 2 y dt 2 + π 2 dy dt = 0 5...
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This test prep was uploaded on 01/22/2011 for the course MATH 385 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim
 Data Structures

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