Consider the initial value problem (x + 1)y" – y" – (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1 (a) Show that yı = differential equations (b) Compute W(y1, Y2, Y3). (x + 1), y2 = e-² and y3 e*...

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Extracted text: Consider the initial value problem (x + 1)y" – y" – (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1 (a) Show that yı = differential equations (b) Compute W(y1, Y2, Y3). (x + 1), y2 = e-² and y3 e* are solutions of the