1. y" - 2y' e* sin x = 2. y" - 6y' +9y = x-²e³x 3. y" - 4y' + 3y = 2 cos x + 4 sin x

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A: Here we find Jacobian of given transformation.

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Q: Verify the following equation. F[sin(wot)H(t)] ولا 2 - ل + - [8(w + wo) - 8(w - wo)].

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A: Note : As per our Guidelines , we can solve first question . Please repost remaining questions.

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Q: Let f AB, SCA and TC B. show that f(f(T)) CT, and SCf¹(f(S)).

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Q: ...........2x² day 34 dx2 dy +5%. dx hich. 3.x ehr. ...........

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Q: Find the Laplace transform of the following functions: 2 1,2 1. f(t)=1² Cos t if 0 1/1/2 T. if 2.…

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Q: Is each of the following functions a solution to the differential equation ? ? ? 1. y = -6e6x ✓2.…

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Q: x = A = Is the vector x unique? choose 4 5 -3 3 -2 -4 6 5 6 -25 -9 3 and b = Define the linear…

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A: d) 8 meters are traveled in 1.5 minutes. ans: 1.5 minutes

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Q: *) Find the eigenvalues λ₁ < λ₂ < 3 and corresponding eigenvectors of the matrix A = -4 -9 26 0 -1…

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Q: 6.9. Let G = Cn be a cyclic group of order n, and let X = {x₁,...,n} be a set containing n elements.…

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Q: Problem 2. Consider the following two graphs: G₁ V₁=(a,b,c,d,e,f,g) E₁={{a,b),(a,d),(b,c}), (b,d),…

A: By the function f we convert all the edges of graph 1 in the new form of vi  So, new edges are…

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Q: How many solutions does the equation sin 3x = 0.55-x² have? Use Newton's method to find them. The…

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Q: Problem 11.3_4 Use the fact that F[1/(1+t²)]=ne and Parseval's equality to show that dr म 2

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Q: Find the general solution of the following differential equation using Frobenuius's techniques. d²y…

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

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A: We will find parametric equations of line segment and then find line integral

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A: Note that 6.20 is not attached here, So we proceed according to the definition which is standard in…

Q: Question 6. If F(s) - -s²4s - 3 is the Laplace transform of f(t), find the following, correct to…

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Q: Given the solution to a differential equation, the corresponding roots are y = e³x [(C₁ + C3x) cos…

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Q: Given y₁ (t) t²y'' – 2y - = = t² and y₂ (t) = - 1 t = - 2t² + t³, satisfy the corresponding…

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Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0…

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Q: 35 Let I(m, n) be a function that satisfies the relation I(m, n)m + I(n, m)n = gcd(m, n), when m and…

A: Given Data: It follows that, Let I(m, n) be a function that fulfils the relation I(m, n)m+ I(n, m)n…

Q: THE STORY Barney, Bess, Bev, and Buster had the unusual hobby of collecting odd shaped beans. They…

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Q: (5) Out of all the brand X cell phones, 70% are made in Vietnam and 30% are made in Taiwan. Of the…

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Q: THEOREM 4.3.3 Tanh z, coth z. sech z, and each z are analytic func tions of z, except for those…

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