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Which of the following es in differential operator notation is equivalent to the...
Express the system of differential equations in matrix notation x – 4x + y - (cos...
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
2.14. For each differential equation given below, find the solution for t 2 0 with the...
2.14. For each differential equation given below, find the solution for t 2 0 with the specified input signal and subject to the specified initial value. Use the general solution technique outlined in Section 2.5.4. of y (t) dt2 dy (t) dy (t) , た0 dy (t) dt22 t 4-t2 + 3 y (t)-x(t) , dP2+3y(t) =x(t), x(t)=u(t), y(0) = 2 dt22+2dy(2+y(t)=x(t) , x(t) = e-2t u (t), x (t) = (t+ 1) u (t) , y (0)--2 dy (t)...
please solve number 2 and number 4 from the following picture. 2. The equivalent s-domain model...
please solve number 2 and number 4 from the following
picture.
2. The equivalent s-domain model for an RC circuit is shown below. w The loop equation in the s-domain is given by: 3165) + 16 = 3244 Determine the current i(t). Use the phase shift approach. 3. Determine the inverse Laplace transform of s? Y(s) - 10s +3[sY(s) - 10 ] + 2Y(s) = - 4. Clearly answer the following questions: a. Explain the purpose of using the Laplace...
thumbs up for a correct answer! thank you Differential Analysis for a Lease or Buy Decision...
thumbs up for a correct answer! thank you
Differential Analysis for a Lease or Buy Decision Sloan Corporation is considering new equipment. The equipment can be purchased from an overseas supplier for $3,320. The freight and installation costs for the equipment are $620. If purchased, annual repairs and maintenance are estimated to be $410 per year over the four-year useful life of the equipment. Alternatively, Sloan can lease the equipment from a domestic supplier for $1,520 per year for four...
1. Solve the following homogeneous differential equation. ty' = 1. cos (6) + y 2. Solve...
1. Solve the following homogeneous differential equation. ty' = 1. cos (6) + y 2. Solve the following Bernoulli differential equation 3. Solve the following initial value problem. (Hint: transform the equation to a separable equation through a substitution) y-(x + y + 1)? (0) - V3 - 1 4. Let T represent the temperature (in °F) of an object in a room whose temperature is kept at a constant 60°. If the object cools from 100 to 90° in...
please answer all three questions Guaranteed thumbs up if correct, thanks! Determine the largest eigenvalue of...
please answer all three questions
Guaranteed thumbs up if correct, thanks!
Determine the largest eigenvalue of the 3 x 3 matrix 281 309 001 O a. 1 06.6 OC.A Od.2 QUESTION 2 Determine the larger eigenvalue of the linear transformation T(x,y) = (2x + 3y . x + 4y) O a.5 Ob.2 O c. 1 Od.4 QUESTION 3 Determine an eigenvector associated with the repeated eigenvalue of [ 1 1 L-13] 0-[i'] o»[1] oc[:'] o«[] Click Save and Submit to...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s)....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
28, 30, 36. pi DIFFERENTIAL EQUATIONS CHAPTER 2 FIRST-ORDER DIFFERE dx - x = 2y2 y(t)...
28, 30, 36.
pi DIFFERENTIAL EQUATIONS CHAPTER 2 FIRST-ORDER DIFFERE dx - x = 2y2 y(t) = 5 RE Ri = E, i(0) = in. L. R. E, i, constants a = k(T – T.). TO) = To, k, Tm, T, constants 31. x + y = 4x + 1, y(1) = 8 32. y' + 4xy = rer? y(0) = -1 dy + y = ln x, y(1) = 10 dx 34. x(x + 1) + xy = 1,...
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U! 1.) Which of the following parametric equations are equivalent to the p...
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the ...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the constant solutions of this differential equation. . If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). .Enter NONE if there are no constant solutions. a. Constant Solution(s): y- PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing/ concave up/ concave down. Type your answers using interval notation. . If...
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
2.14. For each differential equation given below, find the solution for t 2 0 with the specified input signal and subject to the specified initial value. Use the general solution technique outlined in Section 2.5.4. of y (t) dt2 dy (t) dy (t) , た0 dy (t) dt22 t 4-t2 + 3 y (t)-x(t) , dP2+3y(t) =x(t), x(t)=u(t), y(0) = 2 dt22+2dy(2+y(t)=x(t) , x(t) = e-2t u (t), x (t) = (t+ 1) u (t) , y (0)--2 dy (t)...
please solve number 2 and number 4 from the following
picture.
2. The equivalent s-domain model for an RC circuit is shown below. w The loop equation in the s-domain is given by: 3165) + 16 = 3244 Determine the current i(t). Use the phase shift approach. 3. Determine the inverse Laplace transform of s? Y(s) - 10s +3[sY(s) - 10 ] + 2Y(s) = - 4. Clearly answer the following questions: a. Explain the purpose of using the Laplace...
thumbs up for a correct answer! thank you
Differential Analysis for a Lease or Buy Decision Sloan Corporation is considering new equipment. The equipment can be purchased from an overseas supplier for $3,320. The freight and installation costs for the equipment are $620. If purchased, annual repairs and maintenance are estimated to be $410 per year over the four-year useful life of the equipment. Alternatively, Sloan can lease the equipment from a domestic supplier for $1,520 per year for four...
1. Solve the following homogeneous differential equation. ty' = 1. cos (6) + y 2. Solve the following Bernoulli differential equation 3. Solve the following initial value problem. (Hint: transform the equation to a separable equation through a substitution) y-(x + y + 1)? (0) - V3 - 1 4. Let T represent the temperature (in °F) of an object in a room whose temperature is kept at a constant 60°. If the object cools from 100 to 90° in...
please answer all three questions
Guaranteed thumbs up if correct, thanks!
Determine the largest eigenvalue of the 3 x 3 matrix 281 309 001 O a. 1 06.6 OC.A Od.2 QUESTION 2 Determine the larger eigenvalue of the linear transformation T(x,y) = (2x + 3y . x + 4y) O a.5 Ob.2 O c. 1 Od.4 QUESTION 3 Determine an eigenvector associated with the repeated eigenvalue of [ 1 1 L-13] 0-[i'] o»[1] oc[:'] o«[] Click Save and Submit to...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
28, 30, 36.
pi DIFFERENTIAL EQUATIONS CHAPTER 2 FIRST-ORDER DIFFERE dx - x = 2y2 y(t) = 5 RE Ri = E, i(0) = in. L. R. E, i, constants a = k(T – T.). TO) = To, k, Tm, T, constants 31. x + y = 4x + 1, y(1) = 8 32. y' + 4xy = rer? y(0) = -1 dy + y = ln x, y(1) = 10 dx 34. x(x + 1) + xy = 1,...
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
(1 point Use the differential equation below to answer the following questions: PART 1. Find the constant solutions of this differential equation. . If there is more than one, enter the y-values as a comma separated list (e.g. 3,4). .Enter NONE if there are no constant solutions. a. Constant Solution(s): y- PART 2. Find the open interval(s) for y on which the solution curves are increasing / decreasing/ concave up/ concave down. Type your answers using interval notation. . If...
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