Problems on differential equation

Calculus Level 4

\[\large {x}^{2} \frac {d^{2}y}{dx^{2}}+ x \frac{dy}{dx}+y=0 \]

where \(y=f(x),\) \(f(1)=1\) and \(y'(1)=0\)

Find \(y({i}^{i})\).

Notation: \(i=\sqrt{-1}\) is the imaginary unit.

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