MATH 251 Lecture Notes - System Of Linear Equations, Second Order (Religious), Kiis 101.1
Document Summary
Method of undetermined coefficients g(t) 0. y + p(t) y + q(t) y = 0. y + p(t) y + q(t) y = g(t), We will now turn our attention to nonhomogeneous second order linear equations, equations with the standard form. Each such nonhomogeneous equation has a corresponding homogeneous equation: Note that the two equations have the same left-hand side, (**) is just the homogeneous version of (*), with g(t) = 0. We will focus our attention to the simpler topic of nonhomogeneous second order linear equations with constant coefficients: Where a, b, and c are constants, a 0; and g(t) 0. It has a corresponding homogeneous equation a y + b y + c y = 0. a y + b y + c y = g(t). It can be verify easily that the difference y = y1 y2, of any two solutions of the nonhomogeneous equation (*), is always a solution of its corresponding homogeneous equation (**).
