Fourier Series, Partial Differential Equations. Note that in order for this condition to hold, each term in a linear differential equation of the dependent variable y must contain y or any derivative of y. The existence of a constant term is a sufficient condition for first order differential equations pdf equation to be inhomogeneous, as in the above example.
This is a good introductory reference on differential equations. This is a classic reference on ODEs, first published in 1926. This page was last edited on 8 January 2018, at 22:11. The following examples show how to solve differential equations in a few simple cases when an exact solution exists. One must also assume something about the domains of the functions involved before the equation is fully defined. This page was last edited on 1 September 2017, at 06:56. Algebra, Trigonometry and Calculus cheat sheets and a variety of tables.