Differential Equations Gottfried Wilhelm Leibnitz ( st July - th November ) Learning Objectives After studying this chapter , the students will be able to understand order of the differential equations degree of the differential equations general and Particular solution of Differential equations formation of Differential equations differential equations with variable separable homogeneous differential equations linear differential equations second order linear differential equations with constant coefficients. XII Std - Business Maths & Stat EM Chapter - - Differential Equations A differential equation is an equation with a function and one or more of its derivatives. (i.e) an equation with the function y = f ( x ) and its derivatives dy dx , d y … is called differential equation. For example, (i) dy + (ii) dy (iii) d y + = (iv) d x dt m x Differential equations are of two types.
One is ordinary differential equations and other one partial differential equations. Here we study only ordinary differential equations. . Formation of ordinary differential equations .
. Definition of ordinary differential equation An ordinary differential equation is an equation that involves some ordinary derivatives d y ,... of a function y