Question

Lecture 10: first order linear equations nptel

Answer 1

first order linear equation dy/dx + p× y = q

Answer 2

first‐order differential equation is said to be linear if it can be expressed in the form:


  y' + P(x)y = Q(x) 


where P and Q are functions of x. The method for solving such equations is similar to the one used to solve nonexact equations. There, the nonexact equation was multiplied by an integrating factor, which then made it easy to solve (because the equation became exact).