Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 34y = 6(t – n) + ô(t – 5x), y(0) = 1, y'(0) = 0 y(t) = (| cos(2/10 t) * V1O sin(2/10 (1- x))). * ) «(t - =) + ( V10 sin(2/ 10 )(t – 5x) * ). (*- + • U | 5n 20 20 Need Help? Read It

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A: proof:-we have          y(x)=1a∫0xf(t)sina(x-t)dt   ⋯(i) differentiate by leibnitz's rule(i) , we…

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Q: Find the differential dy of the given function. y = In√9-x² dy =

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Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point…

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Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point…

A: Explanation-  Given that, The initial value problem is- dydx=x2-y2 ; y0=1 Here, The function is-…

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Q: The solution of the differential equation using Laplace transform - + 5y given that y(0) -0 O 1- O…

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Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point…

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Q: By applying Newton's second law to a body at a certain distance x at time t, the following…

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Q: Solve differential equation using Laplace transform ý + 3ý + 2y = 4 with y (0) = 0, ý(0) = 1

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Q: Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial…

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Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) . x"…

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A: We will use the basic knowledge of ordinary differential calculus to answer this question.

Q: Solve differential equation using Laplace transform ý + 3ý + 2y = 4 with y (0) = 0, ý(0) =

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Q: у" — у 3D 4 сosx У (0) %3D0 ,у'(0) — 2

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Q: Is the differential equation y sin 4x dx + x cos 9y dy = 0 exact? %3D Choose the most appropriate…

A: A Diffrentaial equation in the form :-  M( x, y)dx + N(x, y) dy = 0 is an exact  if,   ∂M/∂y =…