Bda14103 Engineering Mathematics 2 Assessment Answer
There are many physical quantities in engineering systems that can be represented by functions involving only one of the four variables e.g., (x, y, z, t). Any equation involving one or more derivatives or differentiable function of a single independent variable is called and Ordinary Differential Equation (ODE). When the order of the highest derivative appearing in the differential equation is “one”, then it is called a first order differential equation. TASK Identify one engineering applicationwhich involves the use of 1stOrder Differential Equations(e.g. solid mechanics, dynamics, thermodynamics, fluid mechanics, vibrations, manufacturing, construction, aeronautics, automotive, electrical and electronics etc.) Discuss the background of the problemand its importance Describe how the problem is formulated into the form of 1stOrder Differential equations: •Dependent and independent variables –explain the physical variable has to be described (e.g Temperature, Pressure, Amplitude etc.) •Derivation of the differential equation •Method of solution and general solution •Boundary / initial conditions •Particular solution
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