Ordinary Differential Equations: Syllabus

Equations of first order and first degree

Integrating factor

Orthogonal trajectory

Equations of first order but not of first degree

Clairaut’s equation

Singular solution

Second and higher order linear equations with constant coefficients

Complementary function

Particular integral and general solution

Second order linear equations with variable coefficients

Euler-Cauchy equation

Determination of complete solution when one solution is known

Laplace and inverse Laplace tranforms and their properties

Laplace tranforms of elementary functions

Application to initial value problems for 2nd order linear equations with constant coefficients