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(1) Let's say that you are trying to find a formula for the solution to: ay'' + by' + cy = f(t), y(to) = ko, y' (to) = k1 with a, b, c, ko, and ki specified, and that the formula...
4. In lab 4 we consider the differential equation y" 2yywyF(t) for different forcing terms F(t). ...
Please answer parts c-d only.
4. In lab 4 we consider the differential equation y" 2yywyF(t) for different forcing terms F(t). In this problem we analyze this equation further using Laplace transforms 0, t<1 (a) Consider y" + y, +40y-1(t), where I(t)- t < 2. Find 1 1, 0. t>2 the forward transform Y-E(y) if y(0)-y(0)-0 (b) Solve y" + y, + 40y-1, y(0) = y'(0) = 0, using Laplace transforms Notice how the value of Y (s) you obtain...
PART B PART C PART D (1 point) Find the Laplace transform of f(t) = 3uſt...
PART B
PART C
PART D
(1 point) Find the Laplace transform of f(t) = 3uſt - 2) – 4uſt - 3) – 5u(t – 5) F(s) = 1 (1 point) Consider the function f(t) = 0, t < 0 -5, 0 < t < 2 2 <t<81 4, t> 8 6, 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function ue(t) with step at t = c. For...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic poly...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins w...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins where the denominator polynomial, A(s) Le., it has the value "1" (one) Monic Rational Form (MRF). This means that the result is a ratio of polynomials, and the coefficient, a, in the denominator polynomial, A(s) below is a, 1 as a ratio of =s"+a-1s"- + a28 +a1s +a0, is monic as the leading coefficient on the highest power of s....
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl Batch...
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl Batchelor Math 03 HOME-WORK (for F.E.)
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl...
4. Let (Yi] be a stationary process with mean zero and let a, b and c be constants. Let st be a seasonal with period 4, that is, st-st+4, t-1, 2, . . . , and Xt = a + bt + ct2 + st + Y. (i) Let (ho,...
4. Let (Yi] be a stationary process with mean zero and let a, b and c be constants. Let st be a seasonal with period 4, that is, st-st+4, t-1, 2, . . . , and Xt = a + bt + ct2 + st + Y. (i) Let (ho, do )-min( (k, d)such that k > 0, d 0, and the proces s W t ▽k▽dX,-(1 B)a Find ko and do. For W, (with k = ko and d...
you can do by hand Question 8: Compute the Laplace Transform Ts, then use the final value theorem to find the limiting t...
you can do by hand
Question 8: Compute the Laplace Transform Ts, then use the final value theorem to find the limiting temperature in each room after a long time. Use eye(3) for the 3x3 identity matrix I. Use inv() for the inverse matrix of the matrix. Declare s to be symbolic Name your result Ts. This is the solution for the model in the s-domain. l(T) = (sl-A)-1 T(0) +-. f >> Tinf vpa (limit (s*TS, 0), 4) =...
you can use matlab to solve 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The...
you can use matlab to solve
1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D
1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...
I have solved the questions (a) to (c). Could you please help me with questions (d),(e),(f)? Thank you! 4. Suppose that(x,y), ,(XN,Yv) denotes a random sample. Let Si-a+bX, T, e+ dy, where a, b, c an...
I have solved the questions (a) to (c). Could you please help me
with questions (d),(e),(f)? Thank you!
4. Suppose that(x,y), ,(XN,Yv) denotes a random sample. Let Si-a+bX, T, e+ dy, where a, b, c and d are constants. Let X = Σ x, and with the analogous expressions for Y, S, T. Let ớXY = N- ρχ Y-σχ Y/(σχσΥ), with the analogous expressions for S, T. = NT Σ(X,-X)2, . Σ(X,-X)(X-Y), and let (a) Show that σ = b20%...
please answer the most you can # 1: Given R-134a at 100 psia, find Tsat, Y, Yg, and hf #2: Given water at 100 psia & T=1000°F, find u and s #3: Given R-134a at 100 kPa & T-50°C, find u and s...
please answer the most you can
# 1: Given R-134a at 100 psia, find Tsat, Y, Yg, and hf #2: Given water at 100 psia & T=1000°F, find u and s #3: Given R-134a at 100 kPa & T-50°C, find u and s #4 : Given water at 100 kPa, if u 1000 kJ/kg, find h (Hint: mixture) #5: Given water at 5 MPa & T-40°C, find u and h #6: Given R-134a at 1,0 MPa & T-40C, find h...
Please answer parts c-d only.
4. In lab 4 we consider the differential equation y" 2yywyF(t) for different forcing terms F(t). In this problem we analyze this equation further using Laplace transforms 0, t<1 (a) Consider y" + y, +40y-1(t), where I(t)- t < 2. Find 1 1, 0. t>2 the forward transform Y-E(y) if y(0)-y(0)-0 (b) Solve y" + y, + 40y-1, y(0) = y'(0) = 0, using Laplace transforms Notice how the value of Y (s) you obtain...
PART B
PART C
PART D
(1 point) Find the Laplace transform of f(t) = 3uſt - 2) – 4uſt - 3) – 5u(t – 5) F(s) = 1 (1 point) Consider the function f(t) = 0, t < 0 -5, 0 < t < 2 2 <t<81 4, t> 8 6, 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function ue(t) with step at t = c. For...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins where the denominator polynomial, A(s) Le., it has the value "1" (one) Monic Rational Form (MRF). This means that the result is a ratio of polynomials, and the coefficient, a, in the denominator polynomial, A(s) below is a, 1 as a ratio of =s"+a-1s"- + a28 +a1s +a0, is monic as the leading coefficient on the highest power of s....
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl Batchelor Math 03 HOME-WORK (for F.E.)
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl...
4. Let (Yi] be a stationary process with mean zero and let a, b and c be constants. Let st be a seasonal with period 4, that is, st-st+4, t-1, 2, . . . , and Xt = a + bt + ct2 + st + Y. (i) Let (ho, do )-min( (k, d)such that k > 0, d 0, and the proces s W t ▽k▽dX,-(1 B)a Find ko and do. For W, (with k = ko and d...
you can do by hand
Question 8: Compute the Laplace Transform Ts, then use the final value theorem to find the limiting temperature in each room after a long time. Use eye(3) for the 3x3 identity matrix I. Use inv() for the inverse matrix of the matrix. Declare s to be symbolic Name your result Ts. This is the solution for the model in the s-domain. l(T) = (sl-A)-1 T(0) +-. f >> Tinf vpa (limit (s*TS, 0), 4) =...
you can use matlab to solve
1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D
1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...
I have solved the questions (a) to (c). Could you please help me
with questions (d),(e),(f)? Thank you!
4. Suppose that(x,y), ,(XN,Yv) denotes a random sample. Let Si-a+bX, T, e+ dy, where a, b, c and d are constants. Let X = Σ x, and with the analogous expressions for Y, S, T. Let ớXY = N- ρχ Y-σχ Y/(σχσΥ), with the analogous expressions for S, T. = NT Σ(X,-X)2, . Σ(X,-X)(X-Y), and let (a) Show that σ = b20%...
please answer the most you can
# 1: Given R-134a at 100 psia, find Tsat, Y, Yg, and hf #2: Given water at 100 psia & T=1000°F, find u and s #3: Given R-134a at 100 kPa & T-50°C, find u and s #4 : Given water at 100 kPa, if u 1000 kJ/kg, find h (Hint: mixture) #5: Given water at 5 MPa & T-40°C, find u and h #6: Given R-134a at 1,0 MPa & T-40C, find h...
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