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What is the purpose of the Geogebra c command "slope field?" O The command automatically sketches...
4. (4 pts) The slope-field of a differential equation is given. Let y(x) be the solution...
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.
Consider the differential equation dy/dx = (y-1)/x.
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...
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...
(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...
a) (3 points) Find the general solution to the equation. Use C, G.C.. to denote arbitrary...
a) (3 points) Find the general solution to the equation. Use C, G.C.. to denote arbitrary constants as necessary y"(.) - 45e + sint b) (5 points) Solve the following separable differential equation for the given initial condition In (1) 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition y' .9 -3, y(0- 1 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y'(t) + 9 =...
please answer b. and c. Problem 1. Consider the differential equation given by (a) On the...
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...
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2...
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...
17. Consider the differential equation given by dy/dx = xy/2
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...
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 differentia...
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)...
I need help with question #3 When there is no fishing, the growth of a population of clown fish is governed by the following differential equation: dy dt 200 where y is the number of fish at time t in...
I need help with question
#3
When there is no fishing, the growth of a population of clown fish is governed by the following differential equation: dy dt 200 where y is the number of fish at time t in years. 1. Solve for the equilibrium value(s) and determine their stability. Create a slope field for this differential equation. Use the slope field to sketch solutions for various initial values. 2. 3. Summarize the behavior of the solutions and how...
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.
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 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...
a) (3 points) Find the general solution to the equation. Use C, G.C.. to denote arbitrary constants as necessary y"(.) - 45e + sint b) (5 points) Solve the following separable differential equation for the given initial condition In (1) 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition y' .9 -3, y(0- 1 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y'(t) + 9 =...
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...
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...
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)...
I need help with question
#3
When there is no fishing, the growth of a population of clown fish is governed by the following differential equation: dy dt 200 where y is the number of fish at time t in years. 1. Solve for the equilibrium value(s) and determine their stability. Create a slope field for this differential equation. Use the slope field to sketch solutions for various initial values. 2. 3. Summarize the behavior of the solutions and how...
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