(1 point) The slope field for the equation yl = x + y is shown below...
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.)
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...
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
(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...
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.
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
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.
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
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
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.