Question: Solve each of the following initial value problems (IVP) (i) y - xy = 0, y(0) = 0, y'(0) = -2 (ii) y +

Solve each of the following initial value problems (IVP) (i) y

Solve each of the following initial value problems (IVP) (i) y" - xy = 0, y(0) = 0, y'(0) = -2 (ii) y" + (x+2x+1)y' - (4 + 4x)y = 0, y(-1) = 0, y'(-1) = 1 (iii) xy"-xy' - 2y = 0, y(1) = 0, y'(1) = 1 (iv) xy"-3xy' + 4y = 0, y(1) = 1, y'(1) = 0.

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