A study of Non homogeneous linear differential equation

  • Unique Paper ID: 161329
  • Volume: 10
  • Issue: 3
  • PageNo: 344-348
  • Abstract:
  • The differential equation of the form a1(x) y” + a2(x) y’ + a3(x) y = f(x) is known as a second-order linear differential equation with variable coefficients. The variable coefficients are a1(x) , a2(x) and a3(x) If f(x) = 0 then the above equation is called a homogeneous second-order differential equation. If f(x) ≠ 0 then the above equation is called a nonhomogeneous second-order differential equation. In this section give an in depth discussion on the process used to solve homogeneous and non-homogeneous linear, second order differential equations, ay′′+by′+cy=f(x).

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BibTeX

@article{161329,
        author = {LATHARANI H.M},
        title = {A study of Non homogeneous linear differential equation},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {10},
        number = {3},
        pages = {344-348},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=161329},
        abstract = {The differential equation of the form a1(x) y” + a2(x) y’ + a3(x) y = f(x) is known as a second-order linear differential equation with variable coefficients. The variable coefficients are a1(x) , a2(x) and a3(x) 
 If  f(x) = 0 then the above equation is called a homogeneous second-order differential equation. 
If f(x) ≠ 0 then the above equation is called a nonhomogeneous second-order differential equation.
In this section give an in depth discussion on the process used to solve homogeneous and non-homogeneous linear, second order differential equations, ay′′+by′+cy=f(x). 
},
        keywords = {Second order LDEs with constant coefficient and variable coefficient.},
        month = {},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 10
  • Issue: 3
  • PageNo: 344-348

A study of Non homogeneous linear differential equation

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