Engineering problems exponential models

As a matter of definition a transcendental function is a function for which the value of the function can not be obtained by a finite number of additions, subtractions, multiplications or divisions. Exponential, trigonometric, logarithmic and hyperbolic functions are all examples of transcendental functions. Such functions play extremely important roles in engineering problems and are the source of many of the nonlinear equations of interest in this book. For engineering models an important feature of transcendental functions is that their argument must be a dimensionless mathematical variable. 

Many problems in engineering mathematics lead to the construction of models that can be used to describe physical systems. Because of the power of technology, a model may be derived from a system of a few equations that may be linear, quadratic, exponential, or trigonometric—or a system of many equations of even greater complexity. In engineering, such equations include ordinary differential equations, differential algebraic equations, and partial differential equations. 

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