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An Alternative Approach to Write the General Solution of a Class of Second-order Linear Differential Equations

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Abstract

In this section of Resonance, we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science.

The objective of this article is to introduce an analytical approach to solve a class of second-order linear homogeneous ordinary differential equations (ODEs) with variable coefficients and derive a formula to write the general solution for the same. We will also solve some well-known and special ODEs.

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Suggested Reading

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5. Acknowledgement

Dharm Prakash Singh is thankful to the University Grant Commission (UGC), India, for the award of a research fellowship under the NET/JRF scheme with JRF award letter No. F.16-6(DEC.2016)/2017(NET) and UGC-Ref. No.: 1086/(OBC)(CSIR-UGC NET DEC. 2016).

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida, UP, 201 312, India

    Dharm Prakash Singh & Amit Ujlayan

Authors
  1. Dharm Prakash Singh
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  2. Amit Ujlayan
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Correspondence to Dharm Prakash Singh or Amit Ujlayan.

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Singh, D.P., Ujlayan, A. An Alternative Approach to Write the General Solution of a Class of Second-order Linear Differential Equations. Reson 26, 705–714 (2021). https://doi.org/10.1007/s12045-021-1170-8

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  • DOI: https://doi.org/10.1007/s12045-021-1170-8

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