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Ordinary Differential Equations Introduction: Differential equatio. ferential equations. If we want to ature we first have to formulate expression in terms of variables, functions, problem as a mathematical » equations, and so forth. Suc mathematical model of the given problem; result in physical or other terms, Differential equations play an im phen Mong these variables and their other words differential equations originate riables and their di hysical concepts, such as velocity and ac liven problem, However, before We can turn to metho first define basic concepts needed, Preliminary Definitions: w dy dtx2 eg. i) zu « d@y dy it) mt ete 8y vi) = Asin x eee yw ) ayy vi) iy ein v) dx? dx ”) Fp y= ax Y= sinx 2. ii) 2a. iit) xy SX 4 ye gay i _ vii) x ae = ysinx viii) Waatyvet e 0 ix) <2 The general form of a differential equation may be given as dy dy day any) 9 (x2 ax? ad? =) _ Note: (1) There are Many types of differential equations, but the comm on differential €quations include ‘) Ordinary Differential Equations ( ii) Partial Differential Equations (PDE concept worth nothing is the distinction between Ordinary differential and Partial Differential Equations (PDE). ODE) ) Note: One very important Equations (ODE) Dr. Kwami, a, - (Not for saley 
