Soon-Mo Jung, Hamdullah Şevli̇, Sebaheddin Şevgin
Abstract
Using the power series method, we solve the inhomogeneous linear first order differential equation $$ y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m, $$ and prove an approximation property of Gaussian functions.
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Using the power series method, we solve the inhomogeneous linear first order differential equation $$ y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m, $$ and prove an approximation property of Gaussian functions.
Key concepts: Power series, Order (exchange), Gaussian, Series (stratigraphy), Combinatorics, Property (philosophy), Mathematics, Physics