About the Book
A very standard textbook on elementary differential equations, complete in every detail with the applications necessary for the modern world. Perfect for engineering students, BS Mathematics, BS Physics, Applied Physics, and all related fields. Part 1 encompasses the following topics: introduction to elementary differential equations, free fall, nomenclature, ODEs & PDEs, derivative notations, order & degree, linearity, solution families, explicitness & implicitness of solutions, variable separable DEs, brachistochrone problem, rainfall time, agricultural yield, epidemics, logistic function, Torricelli's law, chemical decomposition, belt tension, machine pistons, ideal & real gases, reaction equilibrium constant, Clausius-Clapeyron equation, barometric equation, Gibbs-Helmholtz equation, food supply, verhulstic population growth, beam deformation, Francis' Astronomical equations, Debye formula, Planck distribution, Maxwell-Boltzmann distribution, homogeneous DEs, pitfall architectural design, safest slide model, optimal solar panel design, exact differential equations, Maxwell relations, forcefields, thermodynamic optimization, radioactive decay, half-life, radioisotope lifetime, radiocarbon dating, unlimited growth model, growing time for bacteria, limited growth, Mitscherlich model, logistic model, world population demise, demography, Gompertz model, surface tissue growth, pest growth, wildlife conservation, Newton's law of cooling, boiling time determination, cooling water to ice time durations, psychrometry, melting ice, time of death, compound interest, orthogonal trajectory, terrain of safest civilization, optimal fish catch, typhoon path dynamics, defensive fortress architecture, pursuit curves, LDE, dynamics of a falling body, skydiver motion, coefficient of kinetic friction, the constantly stirred tank, chemical reactions, hormone level monitoring, elementary circuits, higher order LDE, springs & pendulums, the spring constant, gas-piston spring, design of a modern analytical balance, underdamped spring motion, peaks, frequency, & period, estimation of damping coefficient, hypothetical rebounding of earthquake waves, underdamped sea tunnels to facilitate fish migration for fishermen, critically-damped motion, SHM, pendulums, Grandfather clock problem, Charpy-Izod pendulum, gravity determination, damped angular frequency and period, general forms for LDE1, LHDE-3,4; Bernoulli DE, Method of Undetermined Coefficients, Advanced Design of an Earthquake Resistant Building, beats and resonance, Variation of Parameters, Wronskians, beam deflections
