3. Let F(n) = 9F(n − 1) − 24F(n − 2) + 20F(n − 3) with initial conditions F(0) = 1, F(1) = 5 and F(2) = 25. Solve the recurrence equation using the generating function method.

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

A:

Q: In 6 decimal places and in 8th iteration, use the Gauss–Seidel iterative process to find the…

A: 1.2x1+4.4x2-1.9x3=-4.25.1x1-1.3x2+2.4x3=2.7-2.6x1+1.7x2-6.3x3=9.6To Find: use the Gauss–Seidel…

Q: Transform ϕ (xmyn) ydx + ψ(xmyn) xdy = 0 to the type variables separable by the substitution z =…

A:

Q: (5) Solve for n EN. +2 (a) (3) = }(n+²). 5 n (b) (²) > (^).

A:

Q: 2. Solve for one real root of f (x) = -14 – 20x + 19x? – 3x3 on the interval (-1,0) up to four…

A:

Q: 3. Find the general solution of the recursion f(n+3) = 5f(n+2) − 3f(n+1)-9f(n) + 8n - 4. How many…

A:

Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

Q: Transform ϕ (xmyn) ydx + ψ (xmyn) xdy = 0 to the type variables separable by the substitution z =…

A: Given differential equation is 2+4x2+yydx+x3ydy=0......1. Compare equation 1 with Mdx+Ndy=0, we get…

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: Anna and Bob are the only residents of a small town. The town currently funds its fire department…

A: Ans:

Q: Solve for X(n) using any 2 out of 3 methods of the given X(z). 1 X(z) = (1– z--)(1– z-2)

A: Given z‐transform can be written as Xz=z3z-1z2-1=z3z+1z-12

Q: Q1 / From the following table , find f(3) 5 10 15 20 y 1 1.6 3.8 8.2 15.4

A: Use any numerical interpolation technique to obtain the result.   Use Newton's forward difference…

Q: Solve 1. (z - 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+x

A: Given; 1.  (8/6) (z-4)<=(2/18)(3z+2) 2.  x+8(x+1)>3(2-x)+x

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: In this method we obtain inverse z-transform  by summing residues of [x(z)zn-1] at all poles. Here…

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: 2. Find f(g(5)) if f(x) = 2z + 5 and g(x) = 3x2 %3D O f(g(5)) = 675 O f(g(5)) = 155 %3D O f(g(5)) =…

A:

Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: Let fx=21-5x be the generating function and gx=51+3x be the generating function. Then find the…

A: Given:fx=21-5xgx=51+3xfx + gx=?

Q: (i) Determine the number g, of ways of tossing a coin n times so that the combination HT never…

A:

Q: Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time…

A:

Q: Given the differential equation: Choose all correct answers. A (x²-1) y" - 6x y¹ + 12y=0 D The…

A:

Q: B. By Z-transform, solve the difference equation y(k)-y(k-1) + y(k-2) = 8(k-1)

A: The given difference equation is y(k) - 5/6 * y(k - 1) + 1/6 * y(k - 2) = delta(k - 1)   To solve…

Q: Find the coefficient of x25 in the generating function (x+ x2+ x3 + x* + x5+ x®) 4 (x²+ x³ + x*+..a…

A: Given function is, x+x2+x3+x4+x5+x64x2+x3+x4+...3 Now, we can write the given equation as,…

Q: Compute y = F 8c by the three FFT steps for c = (1, 0, 1, 0, 1, 0, 1, 0). Repeat the computation for…

A: As per the question we have : y = FC and we have to calculate the FFT in case of  c = (1, 0, 1, 0,…

Q: Given the polynomial  P (x) = x^4+x^3+3x^2+4x+6 , use the Lin-Bairstow method to determine the…

A: Px=x4+x3+3x2+4x+6 r=-2.1s=-1.9

Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1

Q: (d) (i) Show that e²j+z = e²

A: here we have to solve we can write it as                       hence proved

Q: Find Q (0) where Q(x) = 1+r+r+re* 1-r+r_ret

A: