A first order differential equation of the form. is said to be linear. Method to solve this differential equation is to first multiply both sides of the differential equation by its integrating factor, namelyUse equation reducible to Linear form method then find the integrating factor of the differential dy equation x - 5y=x? dx a) es b) r- c) Inx d) None of these d a ос The Laplace transform of (1+ sin 2t)is a) 1 2 + 32-4 b) 1 2 - + s 5? +4 c) 1 2 s 52-4 d) None of these Ob system of linear equations: We refer to a system of the form given in (3) simply as a linearsystem.We assume that the coefficientsaij as well as the functions fi are continuous on a common interval I.When fi(t) 0, i 1, 2,..., n, the linear system (3) is said to be homogeneous;otherwise, it is nonhomogeneous. Matrix Form of a Linear System If X, A(t), and F(t) denote the respective If a linear differential equation is written in the standard form: y′ +a(x)y = f (x), the integrating factor is defined by the formula u(x) = exp(∫ a(x)dx). Linear Algebra and Differential Equations Autumn, Spring 3 credits Catalog Description: Matrix theory, eigenvectors and eigenvalues, ordinary and partial differential equations. Prerequisite: 2173 and either major in ENG, Physics, or Chemistry or permission of math department. Exclusions: