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Find the solution of the following state equation: -Ar Bu. with B = | | ....
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given ...
Write out the solution
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Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
Problem 4 (Analytical and Computational-20 points) Given a second-order ordinary differential equation: d2f(t) df(t) with the following initial conditions: (O) 1 and ait 0 (Analytical-10 points)...
Problem 4 (Analytical and Computational-20 points) Given a second-order ordinary differential equation: d2f(t) df(t) with the following initial conditions: (O) 1 and ait 0 (Analytical-10 points) Express Equation (1) in state-space form. Cleary write down the A, B, C, and D matrices. Then find the state transition matrix and determine the solution for f(t) if the input function r(t) is a unit step function. a) b) (Computational-10 points) Write a MATLAB-Simulink program to find the computational solution for f(t) in...
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hi...
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t...
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
Problem 5. Given the system in state equation form, x=Ax + Bu where (a) A=10-3 01, B=10 0 0-2 (b)...
Problem 5. Given the system in state equation form, x=Ax + Bu where (a) A=10-3 01, B=10 0 0-2 (b) A=10-2 01,B=11 Can the system be stabilized by state feedback u-Kx, where K [k, k2 k3l?
Problem 5. Given the system in state equation form, x=Ax + Bu where (a) A=10-3 01, B=10 0 0-2 (b) A=10-2 01,B=11 Can the system be stabilized by state feedback u-Kx, where K [k, k2 k3l?
Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a....
Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a. Find the steady-state output for a unit-step input. b. Find the step response of the plant; that is, solve for the output if the input is a step function, x(t) = u(t).
please help to solve this. Thank you B2. The characteristic equation of a system is given...
please help to solve this. Thank you
B2. The characteristic equation of a system is given below. Determine and explain the stability of the system 4s8s +2+10+3 = 0 B3. For a unity feedback system with the plant G(8) 500 (8 + 20%(2 + 4s +10) find the steady-state error for the following test inputs: a. 150(1) (i.e. 15 x unit step input) b. 151(1) (i.e. 15 x unit ramp input) 151 () (i.e. 15 x unit ramp input) (6...
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the funct...
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
4. Find the steady state periodic solution, Xsp(t) of the following differential equation. x" + 5x...
4. Find the steady state periodic solution, Xsp(t) of the following differential equation. x" + 5x F(t), where F(t) is the function of period 21 such that F(t) = 18 if 0 <t<n and F(t) = -18 if n<t<21.
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation (221)&#...
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation (221)"-ry +y= 0, y(0) = 9, y'(0) =-8 T +0(x°) y= 9-8+
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation (221)"-ry +y= 0, y(0) = 9, y'(0) =-8 T +0(x°) y= 9-8+
Write out the solution
please
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
Problem 4 (Analytical and Computational-20 points) Given a second-order ordinary differential equation: d2f(t) df(t) with the following initial conditions: (O) 1 and ait 0 (Analytical-10 points) Express Equation (1) in state-space form. Cleary write down the A, B, C, and D matrices. Then find the state transition matrix and determine the solution for f(t) if the input function r(t) is a unit step function. a) b) (Computational-10 points) Write a MATLAB-Simulink program to find the computational solution for f(t) in...
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
Problem 5. Given the system in state equation form, x=Ax + Bu where (a) A=10-3 01, B=10 0 0-2 (b) A=10-2 01,B=11 Can the system be stabilized by state feedback u-Kx, where K [k, k2 k3l?
Problem 5. Given the system in state equation form, x=Ax + Bu where (a) A=10-3 01, B=10 0 0-2 (b) A=10-2 01,B=11 Can the system be stabilized by state feedback u-Kx, where K [k, k2 k3l?
Given the following differential equation for some plant, dy +7.+ 15y = 2x(t) dt dt a. Find the steady-state output for a unit-step input. b. Find the step response of the plant; that is, solve for the output if the input is a step function, x(t) = u(t).
please help to solve this. Thank you
B2. The characteristic equation of a system is given below. Determine and explain the stability of the system 4s8s +2+10+3 = 0 B3. For a unity feedback system with the plant G(8) 500 (8 + 20%(2 + 4s +10) find the steady-state error for the following test inputs: a. 150(1) (i.e. 15 x unit step input) b. 151(1) (i.e. 15 x unit ramp input) 151 () (i.e. 15 x unit ramp input) (6...
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
4. Find the steady state periodic solution, Xsp(t) of the following differential equation. x" + 5x F(t), where F(t) is the function of period 21 such that F(t) = 18 if 0 <t<n and F(t) = -18 if n<t<21.
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation (221)"-ry +y= 0, y(0) = 9, y'(0) =-8 T +0(x°) y= 9-8+
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation (221)"-ry +y= 0, y(0) = 9, y'(0) =-8 T +0(x°) y= 9-8+
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