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1. Answer the following questions. If they cannot be answered, explain why. (a) Solve the following...
(1 point) In this exercise we will use the Laplace transform to solve the following initial...
(1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: y-y={o. ist 1, 031<1. y(0) = 0 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y) = (1 point) Consider the initial value problem O +6y=...
Please answer the blamnks. Thank you. (1 point) Use the Laplace transform to solve the following...
Please answer the blamnks.
Thank you.
(1 point) Use the Laplace transform to solve the following initial value problem: y6y9y 0,with y(0) 1, y (0) = -4 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)} find the equation you get by taking the Laplace transform of the differential equation =0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, A Y(s) (s+a} s+a Y(s) Now by inverting the transform,...
Problem l: (13 pts) mper system subject to a constant force is described by the following...
Problem l: (13 pts) mper system subject to a constant force is described by the following equation of motion and associated initial displacement and velocity, + 10x + 25x 150 with x(0) 5 and x(0) 2 (1) Solve for x(t) (5 pts). (2) What is the steady state solution? (2 pt) (3) What is the transient solution? (1 pt) V(4) Is the system stable or unstable? (1 pt) (5) What is the free solution (2 pts) (6) What is the...
need number 2 and 3. Solve the following differential equations and find (a) Free response; (b)...
need number 2 and 3.
Solve the following differential equations and find (a) Free response; (b) Forced response; (c) Steady state response; (d) Transient response; and (e) Total Response: 1. 4x + 7x = 6te -5t 2. 5x + 20x + 20x = 28, 3. 3 + 14x + 58x = 1740, x(0) = 5 x(0) = 5, (0) = 8 x(0) = x(0) = 0
(1 point) Take the Laplace transform of the following initial value problem and solve for Y(8)...
(1 point) Take the Laplace transform of the following initial value problem and solve for Y(8) = L{y(t)}; ſ1, 0<t<1 y" – 6y' - 27y= { O, 1<t y(0) = 0, y'(0) = 0 Y(8) = (1-e^(-s)(s(s^2-6s-27)) Now find the inverse transform: y(t) = (Notation: write uſt-c) for the Heaviside step function uct) with step at t = c.) Note: 1 | 1 s(8 – 9)(8 + 3) 36 6 10 + s $+37108 8-9
could someone explain this with helpful workspace? Problem 3. (1 point) Use the Laplace transform to...
could someone explain this with helpful workspace?
Problem 3. (1 point) Use the Laplace transform to solve the following initial value problem: y" +9y' = 0 y(0) = 3, y(0) = 5 a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation 0 b. Now solve for Y(S) = c. Write the above answer in its partial fraction decomposition, Y(s) = sta +...
plz answer both questions, thank you! (1 point) Given that cſ cos(5/6) / e-6.25/s find the...
plz answer both questions, thank you!
(1 point) Given that cſ cos(5/6) / e-6.25/s find the Laplace transform of V cos(5vi). {{Vcos(577)} = (1 point) Consider the initial value problem 1" + 4y = cos(2t), y(0) = 3, y(0) = 9. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to...
please please please answer all! its very appreciated! Solve the initial value problem below using the...
please please please answer all! its very appreciated!
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' - 12y = 0, y(0) = 2, y' (O) = 36 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 0 (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y'' - 8y'...
Answer all questions (100 marks) 1. Given x(0) = 0 and transform. = 0, solve the...
Answer all questions (100 marks) 1. Given x(0) = 0 and transform. = 0, solve the following differential equation using Laplace d?x(t) dx +6 dt2 + 8x(t) = 2e-31 dt (20 marks) 2. Find the vo(t) in the network in Figure I using Laplace approach. 12 S 2 w O 1,(s) Ls) V.(5) Figure 1 (30 mrks)
(1 point) In this exercise we will use the Laplace transform to solve the following initial...
(1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: y" + 16 16, = { 10, 0<t<1 1<t , y(0) = 3, y'(0 = 4 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =...
(1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: y-y={o. ist 1, 031<1. y(0) = 0 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y) = (1 point) Consider the initial value problem O +6y=...
Please answer the blamnks.
Thank you.
(1 point) Use the Laplace transform to solve the following initial value problem: y6y9y 0,with y(0) 1, y (0) = -4 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)} find the equation you get by taking the Laplace transform of the differential equation =0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, A Y(s) (s+a} s+a Y(s) Now by inverting the transform,...
Problem l: (13 pts) mper system subject to a constant force is described by the following equation of motion and associated initial displacement and velocity, + 10x + 25x 150 with x(0) 5 and x(0) 2 (1) Solve for x(t) (5 pts). (2) What is the steady state solution? (2 pt) (3) What is the transient solution? (1 pt) V(4) Is the system stable or unstable? (1 pt) (5) What is the free solution (2 pts) (6) What is the...
need number 2 and 3.
Solve the following differential equations and find (a) Free response; (b) Forced response; (c) Steady state response; (d) Transient response; and (e) Total Response: 1. 4x + 7x = 6te -5t 2. 5x + 20x + 20x = 28, 3. 3 + 14x + 58x = 1740, x(0) = 5 x(0) = 5, (0) = 8 x(0) = x(0) = 0
(1 point) Take the Laplace transform of the following initial value problem and solve for Y(8) = L{y(t)}; ſ1, 0<t<1 y" – 6y' - 27y= { O, 1<t y(0) = 0, y'(0) = 0 Y(8) = (1-e^(-s)(s(s^2-6s-27)) Now find the inverse transform: y(t) = (Notation: write uſt-c) for the Heaviside step function uct) with step at t = c.) Note: 1 | 1 s(8 – 9)(8 + 3) 36 6 10 + s $+37108 8-9
could someone explain this with helpful workspace?
Problem 3. (1 point) Use the Laplace transform to solve the following initial value problem: y" +9y' = 0 y(0) = 3, y(0) = 5 a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation 0 b. Now solve for Y(S) = c. Write the above answer in its partial fraction decomposition, Y(s) = sta +...
plz answer both questions, thank you!
(1 point) Given that cſ cos(5/6) / e-6.25/s find the Laplace transform of V cos(5vi). {{Vcos(577)} = (1 point) Consider the initial value problem 1" + 4y = cos(2t), y(0) = 3, y(0) = 9. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to...
please please please answer all! its very appreciated!
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' - 12y = 0, y(0) = 2, y' (O) = 36 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 0 (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y'' - 8y'...
Answer all questions (100 marks) 1. Given x(0) = 0 and transform. = 0, solve the following differential equation using Laplace d?x(t) dx +6 dt2 + 8x(t) = 2e-31 dt (20 marks) 2. Find the vo(t) in the network in Figure I using Laplace approach. 12 S 2 w O 1,(s) Ls) V.(5) Figure 1 (30 mrks)
(1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: y" + 16 16, = { 10, 0<t<1 1<t , y(0) = 3, y'(0 = 4 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =...
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