Question: Show (as in Example 3) that the power series method fails to yield a power series solution of the form y = c n

Show (as in Example 3) that the power series method fails to yield a power series solution of the form y = Σ c_nxⁿ for the differential equations in Problems 15 through 18.

x²y' + y = 0

Example 3 Solve the equation xy' = y - x - 1.

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