Jung, Soon-MoSevli, HamdullahSevgin, Sebaheddin2025-05-102025-05-1020131072-66912-s2.0-84872824472https://hdl.handle.net/20.500.14720/16894Sevli, Hamdullah/0009-0003-0258-031XUsing the power series method, we solve the inhomogeneous linear first order differential equation y'(x) + lambda(x - mu)y(x) = Sigma(infinity)(m = 0) a(m) (x - mu)(m), and prove an approximation property of Gaussian functions.eninfo:eu-repo/semantics/closedAccessLinear First Order Differential EquationPower Series MethodGaussian FunctionApproximationHyers-Ulam StabilityLocal Hyers-Ulam StabilityArticleQ3Q3WOS:000320310600003