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Consider the Second-Order Differential Equation

Question 69

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Consider the second-order differential equation Consider the second-order differential equation   .  Suppose the method of Frobenius is used to determine a power series solution of the form   .  of this differential equation. Assume a<sub>0</sub> ≠ 0. Using the larger root of the indicial equation, write down an explicit formula for the coefficients and the corresponding power series solution. a<sub>n</sub> = ________, n ≥ 1 y<sub>1</sub> (x) = ________ .
Suppose the method of Frobenius is used to determine a power series solution of the form Consider the second-order differential equation   .  Suppose the method of Frobenius is used to determine a power series solution of the form   .  of this differential equation. Assume a<sub>0</sub> ≠ 0. Using the larger root of the indicial equation, write down an explicit formula for the coefficients and the corresponding power series solution. a<sub>n</sub> = ________, n ≥ 1 y<sub>1</sub> (x) = ________ .
of this differential equation. Assume a0 ≠ 0.
Using the larger root of the indicial equation, write down an explicit formula for the coefficients and the corresponding power series solution.
an = ________, n ≥ 1
y1 (x) = ________

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