[Solution] Given e^y=y^2 e^x Determine (d y)/(d x), and express your answer in terms of y only. Determine (d^2 y)/(d x^2), and express your answer in terms


Question: Given

\[e^{y}=y^{2} e^{x}\]
  1. Determine \(\frac{d y}{d x}\), and express your answer in terms of \(y\) only.
  2. Determine \(\frac{d^{2} y}{d x^{2}}\), and express your answer in terms of \(y\) only.

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