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Calculus II (MAT 146) Dr. Day Thursday October 17, 2013

Calculus II (MAT 146) Dr. Day Thursday October 17, 2013. Chapter 9: Differential Equations Solving Differential Equations: Graphical, Numerical, and Analytical Strategies Assignments. DE Questions.

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Calculus II (MAT 146) Dr. Day Thursday October 17, 2013

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  1. Calculus II (MAT 146)Dr. Day Thursday October 17, 2013 • Chapter 9: Differential Equations • Solving Differential Equations: Graphical, Numerical, and Analytical Strategies • Assignments MAT 146

  2. DE Questions (4) Population growth for a certain organism is modeled by this differential equation, with P measured in millions, t in years: (a) For what values of the population P will the population be growing? (b) For what values of the population P will the population be diminishing? (a) What, if any, are the equilibrium values of the population? MAT 146

  3. DE Questions • For the differential equation here, what are the constant solutions? • For the following differential equation, DESCRIBE HOW to determine whether any of the functions that follow are solutions. Do not carry out any calculations! MAT 146

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  11. For this differential equation: • Generate a slope field on the window −4 ≤ x ≤ 4 by −4 ≤ y≤ 4. • Sketch particular solutions for various initial conditions, including (1,3), (0,1), (0,–1), (–2, –2), and (–2,2). MAT 146

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  22. Assignments WebAssign • 9.2(I) due tonight • 9.2(II) due Sunday night MAT 146

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