Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.(i) $y = a e^{x} + b e^{- x} + x^{2}$ : $x \frac{d ^{2} y}{d x ^{2}} + 2 y \frac{d y}{d x} - x y + x^{2} - 2 = 0$

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Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.(i)

y = a e^{x} + b e^{- x} + x^{2}

x \frac{d ^{2} y}{d x ^{2}} + 2 y \frac{d y}{d x} - x y + x^{2} - 2 = 0

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Question Text

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.(i)

y = a e^{x} + b e^{- x} + x^{2}

x \frac{d ^{2} y}{d x ^{2}} + 2 y \frac{d y}{d x} - x y + x^{2} - 2 = 0

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