Show that the following explicit solutions satisfy the ODE. Then, determine the unique solution to the IVP on the given interval, given the initial value below. ODE: (x + 1)y' + y = 1: (0,0) x In x+C x+1 Initial value: y(e) = 1 Solutions: y(x) =

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A: The solution you have solved, is incorrect.

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A: Given

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A: The given initial value problem is:

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A: Given that the differential equation is                                          To find the general…

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Q: 4. (a) Find the general solution to the following ODE. dy r+y² + xy² +1 dr (b) Given that y(0) = 1,…

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Q: b) FIND solution of the following ODES: 0571 1 ii) y' =- y(0) = , 6ey-2x'

A: Given:          y'=16ey-2x, y0=0.571         dydx=16ey-2x        dxdy=6ey-2x         x'=6ey-2x This…

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