Answered: 4) Solve the initial value problems…

4) Solve the initial value problems (i.e. find particular solutions) a) 10y''+18y'+5.6y=0 with y(0)=1 and y’(0)=1.6. b) 10y''+50y'+65y=0 with y(0)= 3 and y’(0)=-7.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.22P

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If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots,Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions,ExplainThemWithTheirReasons. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (u(t) indicates the input of the system, y(t) the output. 8(t) is a unit impulse, 1(t) is a unit step function.) а. у(t) %3D b. y(t) = cos(3t) u(t) и(t - 2) + u(2 - t) = Sje-t+wu(w)dw d. y(t) = S u(w)dw e. у(t) %3D 1(t) f. y(t) = 0 с. у(t) %3D -2t I| %3D
If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions,ExplainThemWithTheirReasons. 1. The input of the adjacent circuit is “u(t) = V1(t)" and its outputs are "yı (t) = ig1(t)" (current on R1) İR1, and "y2 (t) = V11 (t)" (Voltage on L1). R1 L1 C1 a) Obtain the state space representation of the system for "x, (t) = Vca(t)" and "x2 (t) = i1(t)". b) (in parameters) c) Obtain the state space representation of the system for the state variables ;(t) = 2ig1 (t) + V11 (t) and K2(t): = 3 ) dt. (in parameters) d) For "R1 = 1, C1 = 1, L1 = 1", find the transfer function matrix of the system separately from the…
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If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. The input of the adjacent circuit is "u(t) = V1(t)" and its outputs are "yı (t) = ir1(t)" (current on R1) İR1, and "y2 (t) = V11 (t)" (Voltage on L1). R1 L1 C1 a) Obtain the state space representation of the system for "x, (t) = Vc1(t)" and “x2 (t) = i1(t)". b) (in parameters) c) Obtain the state space representation of the system for the state variables *1(t) = 2i1(t) + V11 (t) and 2(t) = 3dt) (in parameters)
If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: “Chi Tsong Chen, Linear System Theory and Design" "John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 3. Consider the circuit given below. The inputs are Is1 and Is2 currents, the outputs are VC1 and VC2 voltages. C2 C1 + VC2 - + VC1 iL1 L1 Is1(1 vs1 R1 R2: 1Is2 VR1 VR2 a. Let the state variables be VC1, VC2, iL1 respectively. Write the state space representation of the system. (It will be written in terms of parameters. If not, explain why.) b. Get the transfer function matrix of the system using the state space representation you found in part "a". (It will be written in terms of parameters. It must be done using…
If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (ult) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step function.) b. у(t) %3D cos(3t) u(t) c. y(t) = f, e-t+wu(w)dw
Map this following expression into K-map , then use K-map to simplify expression(3 varia bles and standard SOP expression) Map this following expression into K-map , then use K-map to simplify expression Y(A,B,C) = E(m,,m,,m,,m, ,m, ,m, ,m,)
REC O x .002 w to Determine If 2 Events Are Independent: Substitute in what you know in to P(An B) = P(A) • P(B) and check to see if left side equals right side. o If it's equal, then it's independent. o If it's not equal, then it's not independent (or dependent). Let event M = taking a math class. Let event S = taking a science class. Then. M and S = taking a math class and a science class. Suppose P(M) = 0.6. P(S) = 0.5. and P(M and S) = 0.3. Are M and S independent? PCM)- P(S) = P(Mand5) .3 .3 indep endent .3 9. In a class, 60% of the students are female. 50% of all students in the class have long hair, 45% of the students are female and have long hair. Of the female students, 75% have long hair. Let F be the event that the student is female. Let L be the event that the student has long hair. One student is picked randomly. Are the events of being female and having long hair independent? ELMO
Hi, I was having trouble solving this practice example. I see part a and b are already solved, but i am having trouble understanding the procedure. Especially the part where the Xeq is solved for. If you could explain this as well as part c). that would be appreciated.
Please show your complete solution on how to find the missing values. I want to learn how to solve this problem. Thank you.
If I have to break the question piecemeal, write how I should divide it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" "John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. Are the following systems linear? Is it memoryless? Is it causal? Explain your answer. Can impulse response and transfer function be found for systems? Find if it can be found, if not, explain why. (Note: The input of the system is "z(t)" and the output is "y(t)". “8{t)" is unit impulse, "1(t)" is unit step function. In some cases, impulse response or transfer function is already given In this case, find what is not given if it can be found.) 7. System with transfer function G(s) = 8. System with transfer function G(s) =…