Determine which differential equation corresponds to each phase
line. You should be able to state briefly how you know your choices
are correct.5 star if correct
Determine which differential equation corresponds to each phase line. You should be able to state briefly...
Determine which differential equation corresponds to each phase line You should be able to state briefly how you know your choices are correct E dy/dt = 2y - y^2 dy/dt = y(y - 2) F dy/dt = y^2 | y - 2| B dy/dt = 3y - y^2 A dy/dt = y(2 - y)^2 D dy/dt= 4y - y^3 C dy/dt = y^2 - 3y H dy/dt = y^3 - 4y
4.
Autonnomous equations:
Sec 1.6: Autonomous equations Determine which differential equation corresponds to each phase diagram. You should be able to state briefly how you know your choices are correct. ? . 1. = gi? 32 2. = ? |: - 21 ? 3. = (- 2) ? • 4. * - 42 ? 5. = 21 - 22 42- A B C E F G H
(1 point) Use the applet provided to draw a phase portrait for ' = -2x(1 - 2)(2-2) The above equation could represent a model of a population that can become extinct if it drops below a particular critical value. What is this critical value? (1 point) Determine the bifurcation value(s) for the one parameter family k = 0 help (numbers) Determine which differential equation corresponds to each phase line. You should be able to state briefly how you know your...
Determine the order of the given differential equation and state whether the equation is linear or nonlinear. This equation is The order of the equation is exact number, no tolerance Click if you would like to show Work for this question: Open Show Work
Q1 State a first order non-linear and non-homogeneous differential equation. Solve using - Exact Equation Approach Q2 State a second order linear and non-homogeneous differential equation. Solve using - Undetermined Coefficient Approach Please state the DE and solve it , as I want to know how you answer it , then i can practice with the real DE given by the question
differential equations help please
Each set of problems should be completed with "Pen and Paper" analysis with complete phase planes drawn by hand and then a computerized version. Pay attention to the behavior near the fixed points and the behavior elsewhere. dT (T-T). Solve this dt Problem 1: Code Newton's law of cooling. The equation is equation using separation of variables and log functions and based on this result you should be able to visualize what the solution graphs look...
Q1 State a first order non-linear and non-homogeneous differential equation. Solve using - Exact Equation Approach Q2 State a second order linear and non-homogeneous differential equation. Solve using - Undetermined Coefficient Approach Please state the DE and solve it , as I want to know how you answer it , then i can practice with the real DE given by the question
First, verify that y(x) satisfies the given differential equation. Then, determine a value of the constant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition. y' =y+3; y(x) = CeX-3; y(0) = 8 What step should you take to verify that the function is a solution to the given differential equation? O A. Differentiate...
a. Write down a differential equation for bacterial growth during the exponential phase (batch culture), where k is the instantaneous growth rate. b. Solve the equation. Your solution should be a continuous function that gives the number of cells as a function of time. c. Write an equation for the doubling time (generation time) in terms of k. d. Parameterize your equation as follows: Assume that you start with 10 cells, and that it takes each cell 30 minutes to...
Suppose you are solving a linear homogenous differential equation. State the general solution for each of the following situations. You may assume that the dependent variable is y, and y = y(t). a. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 +V-49 b. Second-order constant-coefficient equation, with auxiliary equation roots r = -2 + 149 c. Second-order Cauchy-Euler equation, with auxiliary equation roots r = -2 EVO d. Fourth-order constant-coefficient equation, with auxiliary equation roots r = -6,...