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
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...
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...
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.)
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
(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...
consider the differential equation dy/dx = -2x/y. find the particular solution y = f(x) to the guven differential equation witht the intial condition f(1)= -1 umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
the simplest solution please fit for ap calculus ab l1T 8. Shown above is a slope ficld for the differential eoquaton is the solution to the y (4-y-]. If y - gx) is the solution to the differential equation with the initial condition g(-2)-1, then im g(x) is roo (A) -(B -2 (C)0 (D) 2 (E) 3 l1T 8. Shown above is a slope ficld for the differential eoquaton is the solution to the y (4-y-]. If y - gx)...
7. Consider the differential equation (a) Show that z 0 is a regular singular point of the above differential equation (b) Let y(x) be a solution of the differential equation, where r R and the series converges for any E (-8,s), s > 0 Substitute the series solution y in to the differential equation and simplify the terms to obtain an expression of the form 1-1 where f(r) is a polynomial of degree 2. (c) Determine the values of r....
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
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.