Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.

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A: Topic = Differential equation

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Q: (x+2)y" - y' - (x + 3) y = 0,

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Q: Obtain the particular solution of (3x2-2y2)y'=2xy; when x=0. y=-1

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Q: (x + 2)y" - y - (x + 3)y = 0,

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A: The differential equation is given as

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