Question: 1. The goal in this problem is to nd a basis for the kernel of the linear differential operator D2 + 3D 4 as a

1. The goal in this problem is to nd a basis for the kernel of the linear differential operator D2 + 3D 4 as a linear transformation from (321:!) to COU]. {a} Find two linearly independent functions in the kernel. Justify why they are linearly independent. Hint: Try 3,-{33} = e\". {b} Why do these two solutions form a basis

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