Jung, Soon-MoŞevli, HamdullahŞevgin, Sebaheddin2015-09-102015-09-1020131072-6691https://hdl.handle.net/11467/1150Using 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/openAccessLinear First Order Differential EquationPower Series MethodGaussian FunctionApproximationHyers-Ulam StabilityLocal Hyers-Ulam StabilityArticle318Q3WOS:000320310600003Q32-s2.0-84872824472