Question: (2x 2 +1)y'' - 4xy' + 4y = 0 y(x) = x is a solution of this differential equation. 1a) Use reduction of order, showing

(2x2+1)y'' - 4xy' + 4y = 0

y(x) = x is a solution of this differential equation.

1a) Use reduction of order, showing all of your steps, to find another solution of this differential equation.

1b) Verify these solutions form a fundamental set of solutions by computing its Wronskian and verifying it is nonzero.

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