Use the Laplace transform to solve the given initial-value problem. dy dt y(t) = 1 - exp(-t) sinh(t) cos(√2 t) -√2 2 + 3t exp(t) - 1 cosh(t) √3+ sin(√3 t) 2t - 1 0 No solution -y= 1, y(0) = 0 = 1,

Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: Find the differential operator which will annihilate the function 2x + r³ – sin 2r.

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Q: Find an implicit general solution for the ODE dy/dx = [2(2y−x)] / (x+y)

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Q: 2x + 2y %3D 1. Use implicit differentiation to find dy/dx for ey

A: GIVEN ex2y =2x+2y

Q: find dy/dx. g(x) = cos x/sin2 x

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Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

Q: A(x) = sintdt d. A(x) = ₁ It-2|dt

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