Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + 8xy' + 8y = 0 Oy₁ = 1 + 4x²8x4 + 32 6 Oy₁ = 1 - 4x² + 8x4 - 3²2x6- . Oy₁ = 1 - 4x² + 8x4 - 320x6. Oy₁ = 1 - 4x² - 8x4 - 32x6 -... 32 Oy₁ = 14x²8x² -33x6- 8 and y₂ = x-x³₁ and y₂ = x + and y₂ = x - and y₂ = x + W co w 8 +³ 8,3 w 00 W 00 8 + + + 64 5 15 64 -x² + 15 64,5 15 + -x + 15 64 5 512 and Y₂ = x-x³+₁ 8.3 64 15 5127 +... 105 sta 512 Ex² + ... 105 5127 +... 105 105 512 7 105 +.... +

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