Consider the following initial value problem: y" ly 30y = sin(7t) Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}. find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) = y(0)2, y' (0) = -4

Q: Question 4 く Given the differential equation 6t y''+ 4y = 9e", y(0) = 0, y'(0) = 0 %3D Apply the…

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Q: (8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec); (A)…

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Q: Consider the initial value problem y" – 5y' – 4y = sin(t) y(0) = 5, y'(0) = 2 A. Use the Laplace…

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Consider the following initial value problem: x" – 2x' – 24x = sin(7t), x(0) = 5, x'(0) = -1. Using…

A: Given differential equation is

Q: y" + 5y' + 4y = 0, y(0) = 1 y'(0) = 0

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Q: Consider the following initial-value problem. y' + y = t sin(t), y(0) = 0 Take the Laplace transform…

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Q: Find the derivative of y = sin¹³(t). dy dt I

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