Q-2) Find x(t) for the following DE➜ +4x(t) + 3 x(t) = 6 if x(0+) = 0, (0+) =0, using the Laplace transformation method.

Q: Let T(a + bx + cx²) p(x) x²+2x+1 a Find a non-zero function in the null space of the transformation.…

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Q: (C)- [-5x1 + 9x2] 4x1 – 7x2 T:R² → R² is a linear transformation, such that T Show that T is…

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Q: 1 f(z)=- (r+,2) +4)

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Q: Show that the transformation T3(x, y) = (x + y, -x + y) is the inverse of T₁. T₁(x, y) = (x - 2y, x…

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Q: Find the inverse of the linear transformation Y1 Y2 Y3 = = = 2x₁ 2x₁ x1 +4x₂9x3 +3x₂ -7x3 +2x₂ - 4x3

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Q: (I) Find the fractional linear transformation f such that f(0) 2 – 2i, f(1) = 0 and f(∞) = -2 – 2i.…

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Q: I'm looking at page 292 of the Linear Algebra and Its Applications 5th Edition Textbook by David C.…

A: Let us consider the linear transformation T:V→W  and B be the basis of the the vector space V Thus,…

Q: f(s) = 2620 (3+261² (5+2)²³ Using laPlace Transform method f(t)=?

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Q: Which of the following transformations T: R² → R³ are linear? Find the image of the vector x =…

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: f(x)x| a = __ h=_k= _

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Q: Determine the transform of the following functions using any methods . 1/4 t^2 - 2/3 t^4 + t^3/2

A: Some Laplace transform formulas: L{t2}=2s3L{t4}=24s5 Mathematical representation of gamma function…