Homework Answers
The first option is absolutely matches with the slope field ,hence first option is correct.
3 rd and 4 th options are ruled out of the direction of the slope field as shown above .Some ambiguity in deciding either 1st or 2 nd option is correct
If we observe carefully in the first option we observe the summetry of the direction field where as in the second opinion symmetry fails, hence first option exactly matches the given above slope field.
Hence 1st option is the correct solution.
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Match the differential equation with the appropriate slope field. y = y(y+2)(y-2) y X ! می...
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
Match the correct differential equation(s) to the slope field segment. Some graphs might have more than...
Match the correct differential equation(s) to the slope field
segment. Some graphs might have more than one correct differential
equation. Thanks in advance
1)=y(4-y) 2)
= cos(4-y) 3)
= cos y 4)
=y(3-y)
5)=x(3-x) 6)
=e^(-x^2)
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...
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.)
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
4. (4 pts) The slope-field of a differential equation is given. Let y(x) be the solution...
4. (4 pts) The slope-field of a differential equation is given. Let y(x) be the solution with initial condition y(0) = 1.7. Estimate the minimum point of v(x). Give estimates of both coordinates r and y of the minimum point.
Select each differential equation that matches the slope field segment. (IV) y 15 I O y...
Select each differential equation that matches the slope field segment. (IV) y 15 I O y = y(15 - ) y = y(3-) O y = cos(1) O y = x(3 - x) Oy -C05 (15) Select each differential equation that matches the slope field segment. y 3 r 25 y = y(3-y) Oy = cos(y) Oy - cos (15) y = y(15-) OV
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...
dy The slope field below is that for some differential equation = f(t, y) 1 1...
dy The slope field below is that for some differential equation = f(t, y) 1 1 1 1 1 2 From this, give a possible solution to the differential equation y 42-1-\3A.
(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 =
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
Match the correct differential equation(s) to the slope field
segment. Some graphs might have more than one correct differential
equation. Thanks in advance
1)=y(4-y) 2)
= cos(4-y) 3)
= cos y 4)
=y(3-y)
5)=x(3-x) 6)
=e^(-x^2)
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.)
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
4. (4 pts) The slope-field of a differential equation is given. Let y(x) be the solution with initial condition y(0) = 1.7. Estimate the minimum point of v(x). Give estimates of both coordinates r and y of the minimum point.
Select each differential equation that matches the slope field segment. (IV) y 15 I O y = y(15 - ) y = y(3-) O y = cos(1) O y = x(3 - x) Oy -C05 (15) Select each differential equation that matches the slope field segment. y 3 r 25 y = y(3-y) Oy = cos(y) Oy - cos (15) y = y(15-) OV
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...
dy The slope field below is that for some differential equation = f(t, y) 1 1 1 1 1 2 From this, give a possible solution to the differential equation y 42-1-\3A.
(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 =
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