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

Question 69

Multiple Choice

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

Multiple Choice

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

Correct Answer:
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