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Unformatted text preview: dy dx = 2 x + 3 y , y (0) = 10. To help in keeping your work organized, fill in the following chart with the values at the intermediate steps. x y 0.0 10. 0.2 0.4 0.6 0.8 1.0 5. (15 points) Find the general solution of the following differential equation, and write y as an explicit function of x. dy dx = y 4 5 6. (20 points) The separable differentiable equation dx dt + x 2 = x occurs in certain biological problems. (a) Find the general solution of this differentiable equation, with x written as an explicit function of t. For each of the following initial conditions, determine what happens to the solution of the initial value problem as t ! + " : Does it converge to !" , 0, 1, or + ! ? Explain your answer. ( Note: These parts of the problem can be answered without knowing the solution of the d.e. from part (a).) (b) x (0) = 0.1 (c) x (0) = ! 0.1...
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This note was uploaded on 09/30/2011 for the course PHYSICS 1410 taught by Professor Falco during the Spring '08 term at Texas State.
 Spring '08
 FALCO

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