Show that if and find a similar expression for 2 /x 2 . Deduce that if

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Show that if

then o(x, t) = ap t f(z) t and z zf'(z) + f(z) 2tt X 21

and find a similar expression for ∂2Φ/∂x2. Deduce that if

then   1  k t kf"(z) + 2zf'(z) + 2f(z) = 0

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