Modeling with differential equations is an effective tool to provide methodical and quantitative solutions to real-world phenomena including investigating measurable features, consolidation and processing of data, and designing and developing complex engineering systems. This book describes differential equations correlation with qualitative and quantitative analysis, and mathematical modeling in the engineering and applied sciences. Given equations are explained from multidimensional characterizations with MATLAB® codes. Features:Addresses differential equation-based approaches to solve varied engineering problemsDiscusses derivation and solution of major equations of engineering and applied scienceReviews qualitative and quantitative (numerical) analysis and mathematical modellingIncludes mathematical models of the discussed problemsDiscusses MATLAB® codesFeatures: code and online materials related to the differential equations. This book is aimed at researchers graduate students in electrical and electronics engineering, control systems, electron devices society, applied physics, and engineering design.