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Solve the DE, given x > 0. 2 dy dar +y = = 3 In x с Oy= (In x - 2) + 2 None of these Oy= (In x - 2) +C Both of them
Question 24 Find the indicated derivative. Find y" if y = -4 COS X. Oy"=-4 COS X Oy" = -4 sin x Oy" = 4 sin x Oy" = 4 cos x
Question 28 Solve DE: y(4) - 2 y(2) + y = 0 Oy=cieľ + C2 xe* + c3e-* + C4xe Oy=Cix + c2xlnx + c3x-1 + c4 x-1 In x O None of them Oy=cie + C2 X + c3e-* + c4 x-1
Statistically independent random variables X and Y are defined by Ox=3 , Oy=2 , E[X]=2 and E[Y]=1. Another random variable is defines as W=3Y2+2X+1. Find Rwy X ve Y bağımsız rasgele değişkenleri için Ox=3 , Oy=2, E[X]=2 ve E[Y]=1 olarak veriliyor. Bir diğer rasgele değişken W=3XY+2X+1 olarak tanımlanıyor. Rwy değerini bulunuz.
Find the general solution of 1 + (x2 + 3)4 a) Y= 1- (x2 + 3)4 2 – 2(x2 + 3)4 b) oy= 1 + (x2 + 3)4 1+C(x2 + 3) 8 c) ©y= 1 - C\x2 + 3)8 2+2C(x² + 3)8 d) y= 1- C(x2 + 3)8 2+2(x2 + 3)4 e) Y= 1- (x2 + 3)4
4. (20 points) Suppose the joint distribution of X and Y is: fxy(x, y) 1 0 1 2 3 0.04 0.06 0.01 0.00 0.13 0.13 0.02 0.12 0.04 0.06 0.00 0.11 0.07 0.10 0.06 (a) (4 points) Find the marginal distributions of X and Y. (b) (4 points) Given X = 3, what is the probability that random variable Y is at most 2?. (c) (4 points) Are random variables X and Y independent? Why or why not? (d) (4...
Question 6 3 pts If the functions y = x and y = xe are linearly independent solutions of the non-homogeneous second-order linear differential equation with variable coefficients xʻyll – x(x + 2)yı + (x + 2)y = x3, its general solution is given by Oy=C1x + C2x² cm – 23 Oy=C1x2 + C2xell – 23 None of them y = C1+C2ce® +22 O 9= C1z+C2cef - 22
Solve the following: 1. x*y'-2*y-2*x^2*y 2. y xty/(x-5) 3. y'y/x, y(1)-2 4. yy+2*exp(2*x), y(0)=3 5. (1+x)*y+ysin(x), y(-pi/2)=0 1. x*y'-2*y-2*x^2*y 2. y xty/(x-5) 3. y'y/x, y(1)-2 4. yy+2*exp(2*x), y(0)=3 5. (1+x)*y+ysin(x), y(-pi/2)=0
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
QUESTION 1 The output of the LSI system y[n] = 0.5(x[n]- x[n - 1]) to the input x[n] = 1 is: Oy[n] = cos(it) Oy[n] = 1 Oy[n] = 0 y[n] = Tt QUESTION 2 The output of an LSI system with frequency response Halw)= wejsinw, [W] < it to the input x[n] = 10 cos cos (Th 1 + 45 45°) is Oy[n] = 0 y[n] = 5jt sin 2 πη 4 O 1 πη y[n] = 10 cosi...