• Dr. Shankar Jatothu

Second-order linear differential equations form a fundamental part of undergraduate mathematics and are widely used to model physical, engineering, and scientific systems. Traditionally, these equations are solved using analytical methods such as the auxiliary equation method, undetermined coefficients, and variation of parameters. With the rapid advancement of Artificial Intelligence (AI), new computational and academic tools are emerging that support learning, problem-solving, and verification of differential equation solutions. AI-based systems can perform symbolic computations, check intermediate steps, visualize solutions, and assist students in understanding complex mathematical procedures. This article examines the future role of Artificial Intelligence in the academic study and solution of second-order linear differential equations. It discusses classical solution methods alongside AI-supported approaches, highlighting their benefits, limitations, and educational impact. The paper emphasizes that while AI enhances efficiency and learning support, conceptual understanding and analytical reasoning remain essential in undergraduate mathematics education.

Artificial Intelligence,Second-Order Differential Equations,Linear Differential Equations, Analytical Methods, Numerical Methods Mathematical Education, Undergraduate Studies.

"FUTURE OF ARTIFICIAL INTELLIGENCE IN ACADEMIC SOLUTION METHODS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 2, page no.261-263, February-2026, Available :http://www.jetir.org/papers/JETIRHJ06051.pdf

"FUTURE OF ARTIFICIAL INTELLIGENCE IN ACADEMIC SOLUTION METHODS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 2, page no. pp261-263, February-2026, Available at : http://www.jetir.org/papers/JETIRHJ06051.pdf