Ordinary Differential Equations

Contents

--------------->>> First Order Differential Equation <<<--------------- Introduction Separable form Homogeneous form Initial values Exact form Integration factor Linear equation Bernoulli equation Riccati equation with variable coefficients Exercise --------------->>> Second Order Differential Equation <<<--------------- Reduction of order Complementary function Particular integral Riccati equation with constant coefficients Power series solution (Frobenius) Exercise --------------->>> High Order Differential Equation <<<--------------- General solution Third order linear constant equation Fourth order equation Euler form Exercise --------------->>> System of first Order Differential Equation <<<--------------- Definition and types of forms Autonomous system Stability and classification of singular points State space approach Perturbation equation Exercise --------------->>> Laplace Transform <<<--------------- Properties and convolution theory Differential and integro-differential equations Laplace transform tablel Exercise --------------->>> Engineering Differential Equation <<<--------------- Mechanical vibrating system Electrical system Electromechanical system Beams and bridges Engineering systems Exercise