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4. (4 pts) The slope-field of a differential equation is given. Let y(x) be the solution...
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 dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution 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
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...
please answer b. and c. Problem 1. Consider the differential equation given by (a) On the axes provided below, sketch a slope field for the given differential equation at the nine points indicated. locales de mor t e wold qolution to the given differential equation with the initial condition (b) Let y = f(x) be the particular solution to the given differential equation with the initial condition f(0) = 3. Use Euler's method starting at x = 0, with a...
Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes
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...
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)...
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
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.