Which of the following systems is (i) linear and (ii) time-invariant? (a) y[n] = nx[n] (b) y[n] = x[n]+1 (c) y[n]+2y[n 1] = 3x[n] + nx[n-1] (d) y[n]+2y[n 1] = 2x[n] + 4x[n-1] -

3-2 = du =) dy 5-2 dy 5-2 พ. พ 病 Lu и - ½) du n 1 и и n (n-1) 1 21-1 n = Describe and solve the following differential equation: y"-4y' + 3y = x² - 2x+1

Write the difference equation of the following system. x[n] D Dk D y[n]

Please solve subpart D

O None of the above QUESTION 9 Let x [n] =u[n]*u[n].Which of the following is true ? (x[n]} is a bounded sequence For each 7, x[n]is a finite number, but the sequence (x[n]] is not bounded X[n]is infinite for some time indices n but not all of them x[n]is infinite for all 1 OUESTION 10

Linear Algebra: kindly answer in Proper way step by step:  Please solve it on emergency basis, less than ONe hour please: Mention name "Shahzad Ali"  "F2019266015"  on the top of the every page: Circuit is inside the image: Analyze the circuit given below to find the unknown currents i1,i2,i3,i4,i5and i6 by developing a system of linear equations. Then apply Gauss-Jordan elimination method to solve the developed system.

a) Factor the following expression to obtain a product of sums: A'C'D' + ABD' + A'CD + B'D b) Simplify to a sum of three terms: A'C'D' + AC' + BCD + A'CD' + A'BC + AB'C' c) Find the complement of: wx(y'z+yz) + w'x'(y'+z)(y+z')

For the system shown in Figure 1 find the range of values of k for which the system is stable by using the Routh - Hurwitz criterion. Assume that the para. c and d' are positive R(s) Y( 3k S H 2a s+d: H s+b S+C

Draw the F-I and F-V analogy model for the mechanical system as given below. 1 X5(1) Ka 10000 B3 777 x(t) ×2 (1) -F(t) K3 0000 B₁ -x₁(1) M₂ M₁ K₁ 0000 0000 K₂ B₂ X3(1)

Please help with this four part question, (parts a,b,c,& d)