Use the annihilator method to solve the given differential equation. y"-y=3e²+ sinä.

Q: please explain and show steps Calculate us (t) * sin(t) using the definition of the convolution

A: Introduction: A mathematical procedure called convolution on two functions creates a third function…

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (F) 2y³ + x³…

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Q: Apply the ratio test to determine whether or not the series converges. (−1)n-13n 2 n² 8 n=1

A: Ratio test is used

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Q: 3. Find and show how to find I (6.45). T(5.45)= 48.3038. T(6.45)=

A: 3 Given that 5.45=48.3038. We have to find the 6.45. Use the gamma function property, If x>0 then…

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A: The answer for the given summation problem is 830

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Q: Calculate us (t) * sin(t) using the definition of the convolution

A: Some of the Properties of Laplace transformation  Lsint=as2+a2Lu5(t)=e-5ssLf(t)*g(t)=Lf(t)·Lg(t)

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Q: And how many columns does it have ? A. As many datapoints B. As many parameters O C. Dimension of x…

A: Hints:  Here we need to discuss about Jacobian matrix.

Q: Find the solution of the system of differential equations d²x dt² dx dt dy +x-3=3t dt dy -x+ -3y=8…

A: we solve  this problem by ordinary method .

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Q: a) Determine the temperature of the body at any time by solving equation (2). u(t) = K

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Q: 3) i A) { B) [- Consider the homogeneous DE: y'"" + 2y" + y = 0 Verify that y = cos(x) is a solution…

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Q: (a) Find a power series representation for f(x) = In(1+x). 00 f(x) = Σ( n = 1 What is the radius of…

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Q: b. C. graph: Find the Laplace transform of the function h: [0, ∞) → R with the following Solve the…

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Q: Find the indicated limit by using the limits lim (x,y) → (a, b) lim (x,y) → (a, b) f(x, y) + g(x, y)…

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Q: this was incorrect

A: We will use properties already mentioned .

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Q: = hp(1+zh + ₂x) x + xp (1-2h+₂x9

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Q: x₁ = 5x₁ - 4x₂ x₂ = 2x₁-x₂ Solve pansion. such that x₁ (0) = 1 and x₂ (0) = 2 by using the matrix…

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Q: TOÀN THỊNH PHÁT 2 Calcule the surface area of the core 2 = 3√x ² ty ² lies between the two 2 planes.…

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Q: Calculate us (t) * sin(t) using the definition of the convolution

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Q: Let  A1 = {1,2,3,4,5}, A2 = {6,7,8,9,10,11,12} and A3 = {13,14,15,16,17,18,19}.  How many non-empty…

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Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

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