Consider the first-order differential equation Assume a solution of this equation can be represented as a power series . Assume that C₀ is known. Which of these power series equals y(x)? A) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3(n !)^{2}} x^{3 n} $ B) $ \sum_{n=0}^{\infty} \frac{c_{0} 17^{n}}{n ! 3} x^{3 n} $ C) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3^{n} n !} x^{3 n} $ D) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3^{n}(n !)^{2}} x^{3 n} $

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The Answer of Consider the first-order differential equation Assume a solution of this equation can be represented as a power series . Assume that C₀ is known. Which of these power series equals y(x)? A) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3(n !)^{2}} x^{3 n} $ B) $ \sum_{n=0}^{\infty} \frac{c_{0} 17^{n}}{n ! 3} x^{3 n} $ C) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3^{n} n !} x^{3 n} $ D) $ \sum_{n=0}^{\infty} \frac{17 c_{0}}{3^{n}(n !)^{2}} x^{3 n} $

Consider the First-Order Differential Equation Assume a Solution ∑n=0∞17c03(n!)2x3n \sum_{n=0}^{\infty} \frac{17 c_{0}}{3(n !)^{2}} x^{3 n} ∑n=0∞​3(n!)217c0​​x3n

Consider the First-Order Differential Equation
Assume a Solution $\sum_{n=0}^{\infty} \frac{17 c_{0}}{3(n !)^{2}} x^{3 n}$