elementary differential equation

1. Determine  if  the given functions are linearly dependent or independent in (0, ∞).    [2]

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2.  Find the general solution of the following Cauchy-Euler differential equations.        [4]                                                                                                                                          

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3.  Solve the following D.E. problem by reduction of order. One nontrivial solution is  

     given.                                                                                                                                        [4]

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