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.)
Homework Answers
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The slope field for the equation y'=-x+y is shown above On a print out of this slope field, sketch the solutions that...
(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 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...
(1 point) The slope field for y' = 0.1(1+y)(3 - y) is shown below P -...
(1 point) The slope field for y' = 0.1(1+y)(3 - y) is shown below P - - --- - On a print out of the slope field, draw solution curves through each of the three marked points (a) As 3 → 00 (As needed, entero in your answers as Inf): For the solution through the top-left point: y → For the solution through the origin: y → For the solution through the bottom-right point: y → (b) What are the...
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
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
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х...
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х
DO HAND CALCULATIONS. SHOW ALL STEPS 1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your an...
DO HAND CALCULATIONS. SHOW ALL STEPS
1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your answer by solving the differential equation. a) dy-2 dx y
1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your answer by solving the differential equation. a) dy-2 dx y
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with the initial condition g(-12 ,then lim slx) =-1, then lim...
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with the initial condition g(-12 ,then lim slx) =-1, then lim g(x) is (B) -2 (C) 0 (D) 2 (E) 3
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with...
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...
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.
(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 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...
(1 point) The slope field for y' = 0.1(1+y)(3 - y) is shown below P - - --- - On a print out of the slope field, draw solution curves through each of the three marked points (a) As 3 → 00 (As needed, entero in your answers as Inf): For the solution through the top-left point: y → For the solution through the origin: y → For the solution through the bottom-right point: y → (b) What are the...
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
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
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х
DO HAND CALCULATIONS. SHOW ALL STEPS
1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your answer by solving the differential equation. a) dy-2 dx y
1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your answer by solving the differential equation. a) dy-2 dx y
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with the initial condition g(-12 ,then lim slx) =-1, then lim g(x) is (B) -2 (C) 0 (D) 2 (E) 3
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with...
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. 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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