Monday 19 February 2018

Exact differential equations.A simple overview

The differential equation of the form Mdx+Ndy=0, where M and N are functions of x and y or constants is said to be an exact differential equation if  dM/dy=dN/dx(partial derivative)
Solution of exact differential equation.
1.integrating w.r.t x the terms in M treating y as a constant.
2.integrate w.r.t y those terms in M which are free from x.
3.Add the two expressions and equate the result to a constant eg.