Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 177, pp. 1-8. Title: Properties of solutions to linear differential equations with analytic coefficients in the unit disc Author: Saada Hamouda (Univ. of Mostaganem, Algeria) Submitted July 6, 2012. Published October 12, 2012. Math Subject Classifications: 34M10, 30D35. Key Words: Complex differential equations; growth of solutions; unit disc.