SOLUTIONS OF MULTIPLICATIVE LINEAR DIFFERENTIAL EQUATIONS VIA THE MULTIPLICATIVE POWER SERIES METHOD

In this study, definitions of multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP) and multiplicative power series(MPS) are given. Solutions of first and second order multiplicative linear differential equations (MLDE) are investigated with the help of the MPS. In addition, the solution of the n’th order multiplicative linear differential equation via MPS is generalized. These studies are supported with numerical examples.