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First Order Differential Equations

First Order Differential Equations

Submitted by • August 13, 2012 www.tutorcircle.com

The general first order differential equation can be expressed as follows:
dy / dx + p (x) y = q (x) (1)
Where p (x) and q (x) are continuous Functions of x. A continuous function is a function having no holes or breaks in it. Now consider an another function ? ( x ) that is known as integrating factor, on multiplying it by the equation (1), we get:
? (x) dy / dx + ? (x) p (x) y = ? (x) q (x) (2)

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