differential equation slope field
differential equation slope field (4) Construct the slope field for the following differential equation, then use...
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
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...
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...
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 isoclines of the first order differential
equation
are the family of parallel lines with slope 2. Use the drop-down
menus to answer each of the following questions.
Question 5 2.5 / 10 pts The isoclines of the first order differential equation dy dar 2x – Y are the family of parallel lines with slope 2. Use the drop-down menus to answer each of the following questions. (1) What is the slope of all solution curves as they pass through...
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.
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.
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
17. Consider the differential equation given by dy/dx = xy/2 (A) On the axes provided, sketch a slope field for the given differential equation. (B) Let f be the function that satisfies the given differential equation. Write an equation for the tangent line to the curve y (x) through the point (1, 1). Then use your tangent line equation to estimate the value of f(1.2) (C) Find the particular solution y=f(x) to the differential equation with the initial condition f(1)=1. Use your solution...
4. (6 points) Determine the particular solution to the differential equation dy = x + 2y, dr y(0) = 1.