Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality
(a) y’’(t) + 3y’(t)=2x’(t) + x(t)
(b) y’’(t) + 3y(t)y’(t)=2x’(t) + x(t)
(c) y’’(t) + 3tx(t)y’(t)=2x’(t)
(d) y’’(t) + 3y’(t)=2x2 (t) + x(t+2)
(e) y(t) + 3 = 2x2 (t) + 2x(t)
(f) y(t) = 2x(t+1) + 5
(g) y’’(t) + e-ty’(t) = | x’(t-1) |
(h) y(t) = x2 (t) + 2x(t+1)
(i) y’’(t) + cos(2t)y’(t) = x’(t+1)
(j) y(t) +t y(t)dt = 2x(t)
Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality (a) y’’(t) + 3y’(t)=2x’(t)...
Classify or characterize the following systems as homegeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible and memoryless (a) y(n)= Re(z(n)), (b) y(n) = Re(ejiHz(n)) (e) y(n)=x(4n +1) e) y(n)r(n -2) - 2x(n - 8) (g) y(n) Evenfx(n - 1))
Classify or characterize the following systems as homogeneous, additive, linearity, time-invariance, BIBO stability, causality, invertible, and memoryless: (a) y(n) = Re(a(n)), (c) y(n-2(4n + 1) (d) y(n)=x(-n) (e) y(n) = 2(n-2)-22(n-8) (f) y(n) = nx(n) (g) y(n) = Even{x(n-1))
Examine the properties (memory, stability, casuality, linearity, and time-invariance) for the following systems (a) y(t) = 2*log x(t) (b) y[n] = (1/n) x(n-1) (c) y[n] = 3x [2n-1] (d) y[n] = |x[n]|
Problem 2- System Classification: Linearity (20pts) Circle all nonlinear terms (if any) in the following differential equations: (assume variables on left are outputs, at right are inputs) y'(t) *,4x, +4x, cos(x2) e. Problem 2- System Classification: Linearity (20pts) Circle all nonlinear terms (if any) in the following differential equations: (assume variables on left are outputs, at right are inputs) y'(t) *,4x, +4x, cos(x2) e.
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#32 U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
Determine the value of c that makesthe function f(x,y) = ce^(-2x-3y) a joint probability densityfunction over the range 0 < x and 0 < y < x Determine the following : a) P(X < 1,Y < 2) b) P(1 < X < 2) c) P(Y > 3) d) P(X < 2, Y < 2) e) E(X) f) E(Y) g) MARGINAL PROBABILITY DISTRIBUTION OF X h) Conditional probability distribution of Y given that X=1 i) E(Y given X = 1) j)...
y(t) is INCORRECT but x(t) is CORRECT DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. BELOW is an example of what the answer should look very similar to. should be in the same form basically. example 7.10.4 Question Help Use the...
Part A is wrong and I need help Entered Answer Preview [le^t)/y]+5*cos(5*t)*([-x/(y^2)]+(1/2))+[(6*y/(z^2)]* sin(6*t) 5 +5.2015) (+)+ sino 0.916666666666667 11 12 (1 point) x Suppose w = + where у x = e', y = 2 + sin(5t), and z = 2 + cos(6t). Nie A) Use the chain rule to find was a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e as x. dw dt...
1. Auto- and Cross-Correlation. For each of the following, compute the cross correlation T/2 Rry(,) = E[drpd, + n-linx t-Tax(ry(, + rdr . Hint: Use trigonometric identities (see HW 1), 27T such as sin a sin b-2 [cos(a-b)-cos(a + b)] . Also use the fact that j cos(ont-б unless co-0 x(t) = sin(2n/r), y(t)-sin(2nft) (here x and y are the same, so Rry-Rrr is the a. autocorrelation of x). x(t) = sin(2nft), y(t) = sin(2nf(t-to)) c. x(t)-n(), y()2x(t) +n2(t) where...