Let \( y(x) \) be the solution of the following initial value problem
\[
x^2 \frac{d^2y}{dx^2} - 4x \frac{dy}{dx} + 6y = 0, x > 0,
\]
\[
y(2) = 0, \frac{dy}{dx}(2) = 4.
\]
Then \( y(4) = \(\underline{\hspace{1cm}}\) \).
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Correct Answer: 32
Solution and Explanation
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