Origin of differential equations, solutions of differential equations, equations of firs order and firs degree, equations of first ordenr and firs degree, equations of first order and first degree-exatact equations and reduction to exact equations, equations of firs order and first degree- linear equations and those reducible to tan form, geometric aplications, phisycal applications, equations of firs order and higher degree, singular solutions-extraneous loci, applications of firs order and higuer degree equations, linear equatios of order n, homogeneus linear equations with constant coeffients, linear equations with constant coefficients, linear equations with constant coefficients-variation of parameters, undetermined coeficients, linerars equations with constant coefficients-short methods, linear equations wit variable coefficients-the cauchy and legentre linear equations, linear equations wit variable coefficients-equations of the second order, linear equations with variable coefficients-miscellaneous types, applicationes of linear equations, systems of simultaneous equations, numerical aproximations to solutions, integrations in series, the legendre bessel and gaus equations, partial differential equations, linear partial differential equations of order one, non- linear partial differential equations of order one, homogeneous partial differntial equations of higher order wit constanty coefficients,non- homogeneous partial differntial equations of higher order wit constanty coefficients, partial differential equations of order two with variable coefficients