Solve each of the following initial value problems (IVP) (i) y - xy = 0, y(0)...

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Solve each of the following initial value problems (IVP) (i) y" - x³y = 0, y(0) = 0, y'(0) = -2 (ii) y" + (x²+2x+1)y' - (4 + 4x)y = 0, y(-1) = 0, y'(-1) = 1 (iii) x²y"-xy' - 2y = 0, y(1) = 0, y'(1) = 1 (iv) x²y"-3xy' + 4y = 0, y(1) = 1, y'(1) = 0. Solve each of the following initial value problems (IVP) (i) y" - x³y = 0, y(0) = 0, y'(0) = -2 (ii) y" + (x²+2x+1)y' - (4 + 4x)y = 0, y(-1) = 0, y'(-1) = 1 (iii) x²y"-xy' - 2y = 0, y(1) = 0, y'(1) = 1 (iv) x²y"-3xy' + 4y = 0, y(1) = 1, y'(1) = 0.

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Here are the solutions to the initial value problems Problem i The general solution to the ... View the full answer