Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms. y' + 9y = e -%, y (0) = 1 A y = te -9t B y = e 9t + te 9 9t © y = e -9t + te -9t D) There is no correct answer among the choices.

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A: Given differential equation,     y"+ t(y')2 =0 We have to find  Degree Order  And no of conditions…

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Q: # 2.) Given the differential equation, y'=4cosx-3y, y(0)=1, a.) Use Euler's Improved Method to…

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Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

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Q: 9x2у" + 2у" +у %3D0 (d²y) |dy + 2у 3 х dx dx2 8²u 82u 8²u = 0 0 8x2 8x8y ' 8y² δχδν бу? +

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A: Using method of Laplace transform.

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A: Use the following formulae, to obtain the solution.

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A: Given non-homogenous Initial Value Problem (IVP): y''-3y'+2y=e3t and y0=1, y'0=0.