Suppose you are told that a certain differential equation has the following equilibrium solutions: y 4.01726...
Homework Answers
Note that a certain differential equation has the following equilibrium solutions: y= 4.01726, y=6, y=8
If the initial condition for the differential equation is y(0) = 5.88269, then the solution will tend towards either y= 4.01726 or y=6, as 5.88269 is between 4.01726 and 6. Hence it can not cross these two values.
Thus a possible value for y(8.62729) is 4.90225 which is between 4.01726 and 6.
Add Answer to:
Suppose you are told that a certain differential equation has the following equilibrium solutions: y 4.01726...
2. Differential equations and direction fields (a) Find the general solution to the differential equation y'...
2. Differential equations and direction fields (a) Find the general solution to the differential equation y' = 20e3+ + + (b) Find the particular solution to the initial value problem y' = 64 – 102, y(0) = 11. (e) List the equilibrium solutions of the differential equation V = (y2 - 1) arctan() (d) List all equilibrium solutions of the differential equation, and classify the stability of each: V = y(y - 6)(n-10) (e) Use equilibrium solutions and stability analysis...
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-...
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-
(4 points) Write down a first order autonomous differential equation which has equilibrium solutions at y...
(4 points) Write down a first order autonomous differential equation which has equilibrium solutions at y = 1, y = 2 and y = 3. Is the differential equation linear?
Consider the differential equation y' (t) = (y-4)(1 + y). a) Find the solutions that are...
Consider the differential equation y' (t) = (y-4)(1 + y). a) Find the solutions that are constant, for all t2 0 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as...
Find an autonomous differential equation with all of the following properties: equilibrium solutions at y=0 and...
Find an autonomous differential equation with all of the following properties: equilibrium solutions at y=0 and y=3, y' > 0 for 0<y<3 and y' < 0 for -inf < y < 0 and 3 < y < inf dy/dx =
First, verify that y(x) satisfies the given differential equation. Then, determine a value of the constant...
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...
Suppose that all solutions of the differential equation f(x,y), y = g(x,y) exist for all time and...
Suppose that all solutions of the differential equation f(x,y), y = g(x,y) exist for all time and that f and g are smooth (Co) functions. Let 7(t) be the solution of the initial value problem with γ(0) = (1,2). Prove or give a counterexample to the statement that the w-limit set of γ can contain more than one critical point.
Suppose that all solutions of the differential equation f(x,y), y = g(x,y) exist for all time and that f and...
(c) List the equilibrium solutions of the differential equation y' = (y2 – 1) arctan(y)
(c) List the equilibrium solutions of the differential equation y' = (y2 – 1) arctan(y)
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are...
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are constant, for all t20 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as needed.)...
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are...
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are constant, for all t20 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as needed.)...
2. Differential equations and direction fields (a) Find the general solution to the differential equation y' = 20e3+ + + (b) Find the particular solution to the initial value problem y' = 64 – 102, y(0) = 11. (e) List the equilibrium solutions of the differential equation V = (y2 - 1) arctan() (d) List all equilibrium solutions of the differential equation, and classify the stability of each: V = y(y - 6)(n-10) (e) Use equilibrium solutions and stability analysis...
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-
(4 points) Write down a first order autonomous differential equation which has equilibrium solutions at y = 1, y = 2 and y = 3. Is the differential equation linear?
Consider the differential equation y' (t) = (y-4)(1 + y). a) Find the solutions that are constant, for all t2 0 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as...
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...
Suppose that all solutions of the differential equation f(x,y), y = g(x,y) exist for all time and that f and g are smooth (Co) functions. Let 7(t) be the solution of the initial value problem with γ(0) = (1,2). Prove or give a counterexample to the statement that the w-limit set of γ can contain more than one critical point.
Suppose that all solutions of the differential equation f(x,y), y = g(x,y) exist for all time and that f and...
(c) List the equilibrium solutions of the differential equation y' = (y2 – 1) arctan(y)
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are constant, for all t20 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as needed.)...
Consider the differential equation y' (t) = (y-2)(1 + y). a) Find the solutions that are constant, for all t20 (the equilibrium solutions). b) In what regions are solutions increasing? Decreasing? c) Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing? d) Sketch the direction field and verify that it is consistent with parts a through c. a) The solutions are constant for (Type an equation. Use a comma to separate answers as needed.)...
Most questions answered within 3 hours.
-
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 1 hour ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 2 hours ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 2 hours ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 3 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 4 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 5 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 5 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 5 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 5 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 6 hours ago -
Project management question:
Name 3 different types of resources (hint: humans are one
type)
asked 6 hours ago -
Consider the following reaction: C 2H 2( g) + 2H 2( g) C 2H 6(
g)...
asked 6 hours ago