Question: In Problems 11 through 14, use the method of Example 4 to find two linearly independent power series solutions of the given differential equation. Determine

In Problems 11 through 14, use the method of Example 4 to find two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.

y'' + y = x

Example 4 Solve the equation y" + y = 0.

Example 4 Solve the equation y" + y = 0.

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When we substitute y and 1 we get 2c2 co 6c3 c1 1 x n 1... View full answer

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