Consider the following initial value problem: y′′−4y′−45y=sin(5t)     y(0)=7,y′(0)=5   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)=

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: Use the Laplace transform to solve the following initial value problem: y" - 1y - 30y = 0 y(0) = −4,…

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Q: QUESTION 4 Use the Laplace transform to solve the following second order differential equation: y" -…

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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: Consider the following initial-value problem. y' - y = 2 cos(4t), y(0) = 0 Find {f(t)} for f(t) = 2…

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Q: x' + 3x = 9t, x(0) = 4. Take the Laplace transform of both sides of the given differential equation…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…

A: Given initial value problem

Q: Considel the initial value problem y" – 4y' + 8y = sin(8t) y(0) = 8, y'(0) = 7 A. Use the Laplace…

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Q: Use the Laplace transform to solve the following initial value problem: x' = 9x + 4y, y = -5x + et…

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Q: Use the Laplace transform to solve the following initial value problem: x' = 13x +5y, y = -8x + est…

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Q: L{y(t)} = (s/((s+36)(s^2+36)))+((8+7s)/(s^2+36)) c. Take the inverse Laplace transform of both sides…

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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: y(0) = 1, y'(0) = −2 y" + 8y = 0 First, using Y for the Laplace transform of y(t), i.e., Y =…

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Q: onsider the initial value problem f + 2y = 12t, y(0) = 6. a. Take the Laplace transform of both…

A: Given initial value problem: y'+2y=12t                            y0=6.