Yn+2-6yn+1 + 8y₁ = 3n²+2-5.3n Solve the following using Z-Transform, when y(0)=0 and y(1)=1.

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Q: 3. Solve, showing details: y₁ = 4y2 + 5et y2 -1 = -₁- 20e-t yı(0) = 1, y2(0) = 0

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Q: x^2 + 5x - y = 6; y = 0; x = 3

A: Please see the attachment  According to the guidelines we are supposed to do one problem.

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Q: 3. Solve, showing details: y₁ = 4y2 + 5e² y2 = -₁- 20e-t Y2 y1(0) = 1, y2(0) = 0

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A: Sol

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Q: 2. Let X be a uniform random variable on [a, 0] and let P(X ≤ -1) = . Then AP[X = -1] = BV[X]=-1/2…

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Q: Exercises: 1) In a metric space (M,d). show that both Ø and M are open sets in M.

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Q: • Find Laplace transform of the function Shown below:- 122

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Q: er, explicit ODE

A: Note:-  For this problem, I'll provide you definition and example of first order explicit ode and…

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A: Sol

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Q: 1/ For any. topological space (X, T), if T has only three elements then (X, T) is connected.

A: For any topological space  (X, T) if T has only three elements then  (X, T) is connected

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A: Here we use the orthogonal property.

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Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

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Q: Q5- Find the Maclaurin series generated by the following function: f(x) = sinh(x)

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Q: = A. فأوجد ما يلي: 2 4 0 1 -1 -3 -1 -1 0 2 1 1 1 3 4 ) إذا كانت a) رتبة المصفوفة. b) معكوس المصفوفة.…

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Q: 2) Sketch the graph of f(t) and then find the Laplace Transform. f(1) = -1 + 2] 1+2 (- (-1)+¹(-k)…

A: U(t-a)=0     for.   t<a            = 1.    for.  t≥a

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Q: f(x csc² 6x - x cos 6x)dx

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Q: Q2- By using Chain Rule, find au/ax, du/dy, du/əz at (x, y, z) = (√√3, 2, 1) P-q u= p=x+y+z q=x-y+z,…

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Q: 1) Using Modified Euler's method, solve y'= xy2 + y given yo) = 1 if h= 0.1 to obtain y(0.1), y(0.2)…

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Q: umand

A: Mathematics will give the way to understand patterns to quantity the relationships and for…

Q: 6. Which of the following is NOT an improper integral? ∞e-3r A. · S -dx 5 2x 5² x²-4 O A OB O C OD…

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Q: Solve the following LONG DIVISION 6x35x2-49x equation by using + 60 = 0

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Q: Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0]…

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Q: Which option, if any, would allow you to repay a loan in less time? a) decrease the regular payment…

A: Let us solve the given question in the next step.