please i need steps nsider this system of equations 10. Consider y=x-6 2 + y =...
i need help with this differential equations problem 10) Consider the system of DE: x" + 10x – 4y = 0, -4x + y" + 4y = 0 subject to initial conditions, x(0) = 0, x'(0) = 1, y(0) = 0,y'(0) = -1. Denote L{x(t)} = X(s) and L{y(t)} = Y(s). By applying the Laplace transform to each equation, we get the following system a) (s? + 10)X(s) – 4Y(s) = 1, (s? + 4)Y(s) – 4X(s) = -1 b)...
I need help with this MATLAB exercise. The given system is y[n] - (3/10)y[n-1] - (1/10)y[n-2] = 2x[n] The input x[n] is 2cos(2*pi*n/6)(u[n] - u[n-10]) Don't have to answer part 2 of the question. Zero-state response of a system can be found by using convolution of the input signal and unit impulse response: Use conv command from MATLAB to compute the zero-state response of the system defined in part B to the input x[n] in part C. 1. 2. 3....
Please provide solution with detailed steps and explanations, thanks 6. Consider the system * = -x(x2 + y2 + x - 2) - Y y = -y(x2 + y2 +1 -2) +r. Prove that this system has a periodic orbit. Hint: Convert to polar form.
Please show steps and equations x1(t) -6 42 6 X2(t) 6 4-2 x(t) *x2(t) 6 42 6 Let ylt) -xi(t) xlt) a) What is the value of y(-4)? b) What is the value of y(0)? c) What is the value of y(-3)? d) What is the value of y(2)?
Please explain your steps. I really don't understand this. Exercise 2. Consider the continuous-time signal x(t) = ejwot. Signal x(t) is sent to the input of a first LTI system (System 1) with frequency response Hi(jw) = e-jwA. Let A and wo be constant positive real values. Let y(t) be the output signal of System 1. Signal y(t) is then sent to the input of a second LTI system (System 2) with frequency response H2(jw) = w. Let z(t) be...
Please do all t Which system of equations is DATE x-y -2 B y-3 6. Whic system of inequalities is graphed? S-x+1 2-1 ye-x+1 ys-1 7. Which system of equations is graphed? AxtyS x-2y- 2 Bxty-s x+2y-2 x+2y- 2 8. Which system of inequalities is graphed? x+3y 6 G2x +y22 x-3y <6 x+3ys6 At a university, 1200 students are enrolled in engineering. There are twice as many in electrical engineering as mechanical engineering, and three times as many in chemical...
b) Consider the system of simultaneous equations for x,y and z: ( x + 2y + z = 3 r-3y+z=1 (2x - y +2 = 4 Use Gaussian elimination to find if these equations are consistent. Pro- vide a geometrie interpretation of the result. (18 marks) [Total 35 marks)
Given the system of equations: 2 x + y + z = 2 − x + y − z = 3 x + 2 y + 3 z = − 10 Write 3 different MATLAB scripts/instructions to solve the above system of equations. Your answer must indicate: Solution 1: <statement(s)> Solution 2: <statement(s)> Solution 3: <statement(s)>
Consider the system of equations dxdt=x(3−x−4y) dydt=y(1−3x), taking (x,y)>0. (1 point) Consider the system of equations de = 2(3 – 2 – 49) = y(1 - 33), taking (2,y) > 0. (a) Write an equation for the (non-zero) vertical (-)nullcline of this system: (Enter your equation, e.g., y=x.) And for the (non-zero) horizontal (y-)nullcline: (Enter your equation, e.g. y=x.) (Note that there are also nullclines lying along the axes.) (b) What are the equilibrium points for the system? Equilibria =...
QUESTION 2 Consider the system of equations: x + y + z = 3 -y + 2x + z = 0 - Z+/- 3x = 1 Choose each of the following that is a true statement about the solution of this system of equations. OAZ= -0.6 m B.V = 1.4 OC. None of the other statements is true. OD.X= 2.2 E. X= -1