The Differential Equation 2y"" + 3y" - 3y' - 2y = e-t; where: y(0) = -2t b ²e + e et +² e-t. d = y'(0) = y'(0) = 0 has a solution y =

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A: Given that a certain sequence a1, a2,.... has the properties. First, a1=87 and second, the following…

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A: Given that the following table i.e. x y 1 65 2  a 3 56 4 47 5  b 6 20

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Q: L-1 (s + 1)³) 54 = 1+at+bt² + ct³

A: Given ,      L-1s+13s4 = 1+at+bt2+ct3 (.)  Inverse laplace transforms of some functions , (*)…

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A: The given system of linear equations: 2x-2y+z = -74x-2y-z = -13-8x+8y-4z = 35 The above system in…

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Q: Find the radius and interval of convergence of the power series 3" (n!)212 (2n)! n=1 z"

A: The answer provided below has been developed in a clear step by step manner.

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A: Given the indefinite integral is                                      I(t)=∫t1+t8dt.

Q: Consider the following indefinite integral. I(x) = [x² cos(2²) dr Find the full power series of I(x)…

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Q: Prove by induction that for positive integers n, 13 | (42n+1 + 3n−1)

A: We have to prove 13|42n+1+3n-1

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A: I have explained everything with in the solution. Please go through that.

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Q: 5. Let A = algebra.) 1 -2 -1 [23] AR-2 and AB = -2 -1 6 -9 3 Find B. (Hint: Find A and use matrix

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A: NOTE:-        According to Bartleby guideline if there is a question with multiple sub parts then…

Q: 5. f(x, y) = y(x² + y²)¯¹; y≥ ½⁄/1, x² + y² ≤ 1

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Q: Let f(x) = x² sin(x). Which of the following is a power series about base point O for In the choices…

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Q: Find the dimensions of the given matrix. [-16 34₁ a13 Identify the given entry. 313 = =

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Q: 1. Find two roots of the equation f(x) = 2x³ -7x+2. Use Fixed point Iteration.

A: Given equation is  f x = 2x3 - 7x +2                  f 0 = 2 > 0                  f 1 = 2 -…

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A: Note:- According to guidelines we can provide first three subparts solution. Please repost other…

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Q: OM 1. Let M (x, y) > 0 for all (x, y), and дх continuous. Explain why the system x' = M(x, y) f(x,…

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Q: Let A = {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all m,…

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Q: Consider Z_24. a. Find all its distinct subgroups b. Sketch its subgroup lattice

A: subgroups of Z24 are be Z24, 2Z24,3Z24,4Z24,6Z24,8Z24,12Z24,24Z24=⟨0⟩. As Z24 is cyclic (it is…

Q: d'y dt - dy dt -5y = e-³t sin(4t); y (0) = 3, y' (0) = 10 -

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Q: 156 +44 R: semicircle bounded by y = √√4x², y = 0 + LES • fifc2² (x² + y²) dA

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Q: 1. (a) Approximate f(x) = (1+z) by finding Ts(r) (the 5th degree Taylor polynomial of f) centered at…

A: Note: As per our Guidelines we can solve first parts as your all parts are not small . But I tried…

Q: 27. Let H be the subspace of the plane described in Example 2.34(c). Let A = {(x,y): 0≤x≤ 1, and 0 ≤…

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Q: You are given the problem below:  "Given: Quadrilateral ABCD with A(-5, 0), B(4, 2), C(8, 5), D(–1,…

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Q: A man made a loan of $102 to be repaid with $129 at the end of 5 months. What was the annual…

A: Ans-In this question we have to find the simple interest rate . Simple Interest=P×R×T100

Q: (-4,11) R A fe 3 4 -4 -3 T S 5 X The function f is defined and differentiable on the interval [4,…

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Q: Find the solution of the given initial value problem. where Oy(t) = uh(t)-uzh(t-2n) where h(t) =…

A: given g(t)=4π≤t<2π00≤t<π,t>2π By the definition of Laplace Transform: L[g(t)]=∫0∞g(t)…