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Transform the system into a single equation of second-order x' = 31.21 - 3002 r'a =...
Transform the given system into a single equation of second-order x'= -821 + 7:02 2 =...
Transform the given system into a single equation of second-order x'= -821 + 7:02 2 = -721 - 822- Then find 21 and 22 that also satisfy the initial conditions Then find 2, and are that alene 21 (0)=9 22 (0) = 2. Enter the exact answers. Enclose arguments of functions in parentheses. For example, sin (23).
Chapter 7, Section 7.1, Question 07ab Transform the given system into a single equation of second-order....
Chapter 7, Section 7.1, Question 07ab Transform the given system into a single equation of second-order. xi = 31xı – 30x2 x3 = 30x - 30x2 Then find X and X2 that also satisfy the initial conditions. Xi (O)= 9 X2 (O)= 3 Enter the exact answers, Do not use thousands separator in the answer field. 11 NN ri
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2,...
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2, *2(0) = (a) Transform the given system into a single equation of second order by solving the first equation for x2 and substitute into the second equation, thereby obtaining a second order equation for X1. (Use xp1 for xı' and xpP1 for x1".) xpP1 – xP1 – 2x1 = 0 (b) Find X1 and x2 that also satisfy the initial conditions. *2(t) =
7. Systems of first order equations higher order. Consider the system can sometimes be transformed into...
7. Systems of first order equations higher order. Consider the system can sometimes be transformed into a single equation of xf xx12x2 = -2x1 + X2, (a) Solve the first equation for x2 and substitute into the second equation, thereby obtain- ing a second order equation for x1. Solve this equation for x1 and then determine x2 also (b) Find the solution of the given system that also satisfies the initial conditions x\ (0) = 2, x2 (0)= 3
Second order systems of ordinary differential equations (ODE) often describe motional systems involving multiple masses. Solve the following second order system of ODE using Laplace transform meth...
Second order systems of ordinary differential equations (ODE) often describe motional systems involving multiple masses. Solve the following second order system of ODE using Laplace transform method: Xy-=5x1-2x2 + Mu(t-1) x2-=-2x1 + 2x2 x,(t) and x2(t) refer to the motions of the two masses. Consider these initial conditions: x1 (0) = 1, x; (0)-0, x2(0) = 3, x(0) 0
Second order systems of ordinary differential equations (ODE) often describe motional systems involving multiple masses. Solve the following second order system...
Please assist with the following using Laplace Transform The second order differential equation of a vibratıng...
Please assist with the following using Laplace
Transform
The second order differential equation of a vibratıng system is given by d2 dt'dt 5 1 Determine the system transfer function with initial conditions y(0) y(0)0 5 2 Determine the response of the system, y(t), with a unit step input r(t) and intial conditions y(0)1 and y(0) -1 (15)
5. Consider the second order equation x" + x = 0 with initial conditions (0) =...
5. Consider the second order equation x" + x = 0 with initial conditions (0) = 1, x'(0) = 0. We know the solution is x(t) = cos(t). Recover the exact solution by using the Picard iterative method to solve the first order system that is equivalent to the second order equation above.
5. Consider the second order equation x" + x = 0 with initial conditions (0) =...
5. Consider the second order equation x" + x = 0 with initial conditions (0) = 1, x'(0) = 0. We know the solution is x(t) = cos(t). Recover the exact solution by using the Picard iterative method to solve the first order system that is equivalent to the second order equation above.
(b) [6 points) Transform the given initial value problem for the single differential equation of second...
(b) [6 points) Transform the given initial value problem for the single differential equation of second order into an initial value problem for two first order equations. (Do not attempt to solve it!) u" + -u' +4u= 2 cos(3t), u(0) = 1, u'(0) = -2.
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the ...
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...
Transform the given system into a single equation of second-order x'= -821 + 7:02 2 = -721 - 822- Then find 21 and 22 that also satisfy the initial conditions Then find 2, and are that alene 21 (0)=9 22 (0) = 2. Enter the exact answers. Enclose arguments of functions in parentheses. For example, sin (23).
Chapter 7, Section 7.1, Question 07ab Transform the given system into a single equation of second-order. xi = 31xı – 30x2 x3 = 30x - 30x2 Then find X and X2 that also satisfy the initial conditions. Xi (O)= 9 X2 (O)= 3 Enter the exact answers, Do not use thousands separator in the answer field. 11 NN ri
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2, *2(0) = (a) Transform the given system into a single equation of second order by solving the first equation for x2 and substitute into the second equation, thereby obtaining a second order equation for X1. (Use xp1 for xı' and xpP1 for x1".) xpP1 – xP1 – 2x1 = 0 (b) Find X1 and x2 that also satisfy the initial conditions. *2(t) =
7. Systems of first order equations higher order. Consider the system can sometimes be transformed into a single equation of xf xx12x2 = -2x1 + X2, (a) Solve the first equation for x2 and substitute into the second equation, thereby obtain- ing a second order equation for x1. Solve this equation for x1 and then determine x2 also (b) Find the solution of the given system that also satisfies the initial conditions x\ (0) = 2, x2 (0)= 3
Second order systems of ordinary differential equations (ODE) often describe motional systems involving multiple masses. Solve the following second order system of ODE using Laplace transform method: Xy-=5x1-2x2 + Mu(t-1) x2-=-2x1 + 2x2 x,(t) and x2(t) refer to the motions of the two masses. Consider these initial conditions: x1 (0) = 1, x; (0)-0, x2(0) = 3, x(0) 0
Second order systems of ordinary differential equations (ODE) often describe motional systems involving multiple masses. Solve the following second order system...
Please assist with the following using Laplace
Transform
The second order differential equation of a vibratıng system is given by d2 dt'dt 5 1 Determine the system transfer function with initial conditions y(0) y(0)0 5 2 Determine the response of the system, y(t), with a unit step input r(t) and intial conditions y(0)1 and y(0) -1 (15)
5. Consider the second order equation x" + x = 0 with initial conditions (0) = 1, x'(0) = 0. We know the solution is x(t) = cos(t). Recover the exact solution by using the Picard iterative method to solve the first order system that is equivalent to the second order equation above.
5. Consider the second order equation x" + x = 0 with initial conditions (0) = 1, x'(0) = 0. We know the solution is x(t) = cos(t). Recover the exact solution by using the Picard iterative method to solve the first order system that is equivalent to the second order equation above.
(b) [6 points) Transform the given initial value problem for the single differential equation of second order into an initial value problem for two first order equations. (Do not attempt to solve it!) u" + -u' +4u= 2 cos(3t), u(0) = 1, u'(0) = -2.
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...
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