The slope field for the
equation dy/dx = x+y for −4 ≤ x ≤ 4, −4 ≤ y ≤ 4
is shown in the figure below.
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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 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.)
(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 =
Determine the slope field for the differential equation. Use the slope field to sketch a particular...
Determine the slope field for the differential equation. Use the
slope field to sketch a particular solution passing through (0,0)
and a particular solution passing through (0,3).
dy dc (g - 2)(g+2) 4
differential equation slope field (4) Construct the slope field for the following differential equation, then use...
differential equation slope field
(4) Construct the slope field for the following differential equation, then use the slope field estimate the solution curves (0,-2), and (-2, 0): passing through the points (0, 2), dy dr 8 7 6 -5 -4 3 -2 1 3 4 5 6 7 8 2 -2 1 -3 -1 -1 -4 -7 -6 -5 -9 -8 -2 -3 -4 -5 -6 -7 -8 -9
(4) Construct the slope field for the following differential equation, then...
23. The slope field for a differential equation f(x,y) is given in the figure. The slope...
23. The slope field for a differential equation f(x,y) is given in the figure. The slope field corresponds to which of the following differential equations? NO CALCULATOR Widtil (A) = x+y (B) 4 = y (C) =-y WWW non =e" 宏业公 = 1 - Inx
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...
Consider the differential equation dy/dx = (y-1)/x.
Consider the differential equation dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution y...
(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...
81. A slope field for a differential equation is shown in the figure above. If y-f(x) is the particular solution to the differential equation through the point (2) and x) 3x.f(x), then (1) (A)-6...
81. A slope field for a differential equation is shown in the figure above. If \(y=f(x)\) is the particular solution to the differential equation through the point \((-1,2)\) and \(h(x)=3 x \cdot f(x)\), then \(h^{\prime}(-1)=\)(A) \(-6\)(B) \(-2\)(C) 0(D) 1(E) 12
1. Consider the differential equation y' = y-t. (a) Construct a slope field for this equation....
1. Consider the differential equation y' = y-t. (a) Construct a slope field for this equation. (b) Find the general solution to this differential equation. (c) There is exactly one solution that is given by a straight line. Write the equation for this line and draw it on the slope field.
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.)
(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 =
Determine the slope field for the differential equation. Use the
slope field to sketch a particular solution passing through (0,0)
and a particular solution passing through (0,3).
dy dc (g - 2)(g+2) 4
differential equation slope field
(4) Construct the slope field for the following differential equation, then use the slope field estimate the solution curves (0,-2), and (-2, 0): passing through the points (0, 2), dy dr 8 7 6 -5 -4 3 -2 1 3 4 5 6 7 8 2 -2 1 -3 -1 -1 -4 -7 -6 -5 -9 -8 -2 -3 -4 -5 -6 -7 -8 -9
(4) Construct the slope field for the following differential equation, then...
23. The slope field for a differential equation f(x,y) is given in the figure. The slope field corresponds to which of the following differential equations? NO CALCULATOR Widtil (A) = x+y (B) 4 = y (C) =-y WWW non =e" 宏业公 = 1 - Inx
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...
(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...
81. A slope field for a differential equation is shown in the figure above. If \(y=f(x)\) is the particular solution to the differential equation through the point \((-1,2)\) and \(h(x)=3 x \cdot f(x)\), then \(h^{\prime}(-1)=\)(A) \(-6\)(B) \(-2\)(C) 0(D) 1(E) 12
1. Consider the differential equation y' = y-t. (a) Construct a slope field for this equation. (b) Find the general solution to this differential equation. (c) There is exactly one solution that is given by a straight line. Write the equation for this line and draw it on the slope field.
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