elementary differential equation

1. Determine if the given functions are linearly dependent or independent in (0, 8). [2]

pastedGraphic.png [ show your complete work ! ]

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

pastedGraphic_1.png
3. Solve the following D.E. problem by reduction of order. One nontrivial solution is

given. [4]

pastedGraphic_2.png , x > 0 ; pastedGraphic_3.png (nontrivial solution)