A First Course in Differential Equations with Modeling Applications Resúmenes

Hooke's Law Free Undamped Motion Equation of Motion Double Spring System Free Damped Motion and Separate Cases Differential Equation of Driven Motion with Resistance Transient and Steady State Terms Pure Resonance LRC Series Circuit Linearization

Linear Systems, Eigen Values and Eigen Vectors Matrix Form of a Linear System Super Position Principle of Homogeneous Systems Criterion for Linear Independent Systems Existence of Fundamental Set of Solutions

Derivative of Laplace Transforms Transform of a Periodic Function Unit Impulse Transform of Dirac Delta Function Coupled Spring and Double Pendulum Problem

This is page one of a front and back study guide for an exam on second order differential equations. The topics included between the two pages are linear independence, homogeneous linear equations, non-homogeneous linear equations, Cauchy-Euler equations, Laplace theorem, and word problem applications. Examples are included on the sheet. This sheet helped me very much with my exam, hopefully it can help you just has much. I got an 87% on a very hard exam.