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11. (a) Solve the homogeneous equation completely. y+ 6y + 9y' = 0 (b) Demonstrate that the solutions to this equation are linearly independent using

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11. (a) Solve the homogeneous equation completely. y""+ 6y" + 9y' = 0 (b) Demonstrate that the solutions to this equation are linearly independent using the Wron- skian determinant. (c) Given y" + 6y" + 9y' = 2e4 + e-31 + 1 Find yp using operator methods (d) Solve for yp again using the method of undetermined coefficients

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