Ordinary Differential Equation Alternate Solution (Co-efficient not Limited to Polynomial)

The laws of Physics and some other related courses are generally written as differential equations. Therefore, all of science and engineering use differential equations to some extent. A good knowledge of differential equations will be an integral part of your study in science and/or engineering classes. You can think of mathematics as the language of science, and differential equations are one of the most important parts of this language as far as science and engineering are concerned.

Definition:A differential equation is an equation involving an unknown function and its derivative(s). A differential equation is an ordinary differential equation if the unknown function depend on only one of the independent variable.

Definition:A function is said to be a solution of a differential equation on some interval if it possesses requisite number of derivative and satisfy the equation upon substitution.