The discussion focuses on solving the first-order linear differential equation given by $y'=\dfrac{x^3-y^3}{x-y}$. The Wolfram Development Platform, which is based on Mathematica, provides a complex solution involving Hermite $H_n(x)$ functions and the hypergeometric $_1F_1$ function. An alternative solution presented simplifies to the form $y'=x^2 + x y + y^2$, indicating a more manageable approach to the problem.
PREREQUISITESMathematics students, researchers in applied mathematics, and professionals dealing with differential equations will benefit from this discussion.
Ackbach said:Wolfram Development Platform (essentially Mathematica) gives a horrendous answer: extremely complicated with Hermite $H_n(x)$ functions and the hypergeometric $_1F_1$ function. In what context did this problem come up, and what have you tried?