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(1 point) The slope field for y' = 0.1(1+y)(3 - y) is shown below P -...
(1 point) The slope field for the equation yl = x + y is shown below...
(1 point) The slope field for the equation yl = x + y is shown below 11771 このアントにおすすすすすすと EZIZLI 1107 7777 -111111 On a print out of this slope field, sketch the solutions that pass through the points (i) (0,0); (ii) (-3,1); and (iii) (-1,0). From your sketch, what is the equation of the solution to the differential equation that passes through (-1,0)? (Verify that your solution is correct by substituting it into the differential equation.) y =
The slope field for the equation y'=-x+y is shown above On a print out of this slope field, sketch the solutions that...
The slope field for the equation
y'=-x+y is shown above
On a print out of this slope field, sketch the solutions that
pass through the points
(i) (0,0);
(ii) (-3,1); and
(iii) (-1,0).
From your sketch, what is the equation of the solution to the
differential equation that passes through (-1,0)? (Verify that your
solution is correct by substituting it into the differential
equation.)
4 Consider the autonomous differential equation y f(v) a) (3 points) Find all the equilibrium solutions (critical...
4 Consider the autonomous differential equation y f(v) a) (3 points) Find all the equilibrium solutions (critical points). b) (3 points) Use the sign of y f(z) to determine where solutions are increasing / decreasing. Sketch several solution curves in each region determined by the critical points in c) (3 points) the ty-plane. d) (3 points) Classify each equilibrium point as asymptotically stable, unstable, or semi-stable and draw the corresponding phase line.
4 Consider the autonomous differential equation y f(v)...
(1 point) Use the differential equation below to answer the following questions: メ::Sys PART 1. ...
(1 point) Use the differential equation below to answer the following questions: メ::Sys PART 1. Find the constant solutions of this differential equation. If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). Enter NONE if there are no constant solutions. a. Constant Solution(s): y -48074,.48074 PART 2. Find the open interval(s) for y on which the solution curves are increasing/decreasing/ concave up/ concave down Type your answers using interval notation. If necessary, use...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the ...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the constant solutions of this differential equation. . If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). .Enter NONE if there are no constant solutions. a. Constant Solution(s): y- PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing/ concave up/ concave down. Type your answers using interval notation. . If...
What is the purpose of the Geogebra c command "slope field?" O The command automatically sketches...
What is the purpose of the Geogebra c command "slope field?" O The command automatically sketches small tangent line segments based upon a given differential equation. O The command sketches small tangent line slopes based upon a table of values entered by the user. The command solves a given differential equation. The command verifies a proposed solution to a given differential equation. Question 2 1 pt HH 110 T-11 111 L-IH THI- +10 HHH The direction field above is drawn...
1. (25 pts) An autonomous differential equation has an unstable equilibrium solution at y = -1,...
1. (25 pts) An autonomous differential equation has an unstable equilibrium solution at y = -1, a semi-stable equilibrium solution at y = 0, and a stable equilibrium at y = 5/2. a. Sketch the slope field for the system. b. Propose a first order differential equation (use x as the independent variable) that meets the description above. c. What solution method(s) can be used to solve this system?
The slope field for the equation dy/dx = x+y for −4 ≤ x ≤ 4, −4 ≤ y ≤ 4 is shown in the figure be...
The slope field for the
equation dy/dx = x+y for −4 ≤ x ≤ 4, −4 ≤ y ≤ 4
is shown in the figure below.
The slope field for the equation yxy for -4 SxS4, -4 Sy s4 is shown in the figure below TA (a) Sketch the solutions that pass through the following points: -Select The solution has slope at (0, 0) and is Concave up concave down inear (ü) (-3, 1)increasing The solution sdecreasing -Select concave up...
dy (1 point) Find the equilibrium points of v2 -4) and classifty each one as stable,...
dy (1 point) Find the equilibrium points of v2 -4) and classifty each one as stable, unstable, or semistable. Stable equilibria occur at y Unstable equilibria occur at y- Semistable equilibria occur at y- (If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none".) уг( - 4) and classify each one as stable, unstable, or semistable
(1 point) Find the equilibrium points of dy-e o. 7 and classify each one as stable...
(1 point) Find the equilibrium points of dy-e o. 7 and classify each one as stable or unstable. Stable equilibria occur at y- Unstable equilibria occur at y (If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none")
(1 point) The slope field for the equation yl = x + y is shown below 11771 このアントにおすすすすすすと EZIZLI 1107 7777 -111111 On a print out of this slope field, sketch the solutions that pass through the points (i) (0,0); (ii) (-3,1); and (iii) (-1,0). From your sketch, what is the equation of the solution to the differential equation that passes through (-1,0)? (Verify that your solution is correct by substituting it into the differential equation.) y =
The slope field for the equation
y'=-x+y is shown above
On a print out of this slope field, sketch the solutions that
pass through the points
(i) (0,0);
(ii) (-3,1); and
(iii) (-1,0).
From your sketch, what is the equation of the solution to the
differential equation that passes through (-1,0)? (Verify that your
solution is correct by substituting it into the differential
equation.)
4 Consider the autonomous differential equation y f(v) a) (3 points) Find all the equilibrium solutions (critical points). b) (3 points) Use the sign of y f(z) to determine where solutions are increasing / decreasing. Sketch several solution curves in each region determined by the critical points in c) (3 points) the ty-plane. d) (3 points) Classify each equilibrium point as asymptotically stable, unstable, or semi-stable and draw the corresponding phase line.
4 Consider the autonomous differential equation y f(v)...
(1 point) Use the differential equation below to answer the following questions: メ::Sys PART 1. Find the constant solutions of this differential equation. If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). Enter NONE if there are no constant solutions. a. Constant Solution(s): y -48074,.48074 PART 2. Find the open interval(s) for y on which the solution curves are increasing/decreasing/ concave up/ concave down Type your answers using interval notation. If necessary, use...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the constant solutions of this differential equation. . If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). .Enter NONE if there are no constant solutions. a. Constant Solution(s): y- PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing/ concave up/ concave down. Type your answers using interval notation. . If...
What is the purpose of the Geogebra c command "slope field?" O The command automatically sketches small tangent line segments based upon a given differential equation. O The command sketches small tangent line slopes based upon a table of values entered by the user. The command solves a given differential equation. The command verifies a proposed solution to a given differential equation. Question 2 1 pt HH 110 T-11 111 L-IH THI- +10 HHH The direction field above is drawn...
1. (25 pts) An autonomous differential equation has an unstable equilibrium solution at y = -1, a semi-stable equilibrium solution at y = 0, and a stable equilibrium at y = 5/2. a. Sketch the slope field for the system. b. Propose a first order differential equation (use x as the independent variable) that meets the description above. c. What solution method(s) can be used to solve this system?
The slope field for the
equation dy/dx = x+y for −4 ≤ x ≤ 4, −4 ≤ y ≤ 4
is shown in the figure below.
The slope field for the equation yxy for -4 SxS4, -4 Sy s4 is shown in the figure below TA (a) Sketch the solutions that pass through the following points: -Select The solution has slope at (0, 0) and is Concave up concave down inear (ü) (-3, 1)increasing The solution sdecreasing -Select concave up...
dy (1 point) Find the equilibrium points of v2 -4) and classifty each one as stable, unstable, or semistable. Stable equilibria occur at y Unstable equilibria occur at y- Semistable equilibria occur at y- (If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none".) уг( - 4) and classify each one as stable, unstable, or semistable
(1 point) Find the equilibrium points of dy-e o. 7 and classify each one as stable or unstable. Stable equilibria occur at y- Unstable equilibria occur at y (If there is more than one equilibrium of a certain type, enter a comma-separated list. If there are no equilibria, enter "none")
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