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13 Nov 2019
7.5.015 Let's modify the logistic differential equation as the following (a) Draw a direction field for this differential equation. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) What are the equilibrium solutions? (Enter solutions from smallest to largest.) (c) Use the direction field to sketch several solution curves. Describe what happens to the fish population for various initial populations. (Do this on paper. Your instructor may ask you to turn in this work. (d) Solve the following differential equation explicitly, either by using partial fractions or with a computer algebra system. Use the initial populations 200 and 300. 1000 P(t) å -200 -300 P(t)- (e) Graph the solutions and compare with your sketches in part (c). (Do this on paper. Your instructor may ask you to turn in this work.)
7.5.015 Let's modify the logistic differential equation as the following (a) Draw a direction field for this differential equation. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) What are the equilibrium solutions? (Enter solutions from smallest to largest.) (c) Use the direction field to sketch several solution curves. Describe what happens to the fish population for various initial populations. (Do this on paper. Your instructor may ask you to turn in this work. (d) Solve the following differential equation explicitly, either by using partial fractions or with a computer algebra system. Use the initial populations 200 and 300. 1000 P(t) å -200 -300 P(t)- (e) Graph the solutions and compare with your sketches in part (c). (Do this on paper. Your instructor may ask you to turn in this work.)
Elin HesselLv2
16 Jun 2019