The discussion centers on finding an appropriate Ansatz for the ordinary differential equation (ODE) $y'' + y' - 2y = \frac{e^{x}}{x}$. Participants note that the particular solution cannot be expressed in terms of elementary functions, as indicated by Wolfram Alpha (W|A). A suggestion is made that a potential typo in the problem may exist, proposing that if the driving function were simply $e^x$, the problem would be more straightforward to solve.
PREREQUISITESMathematicians, students studying differential equations, and anyone involved in solving complex ODEs or verifying solutions with computational tools.
ognik said:Hi - I'm given: $ y'' + y' - 2y = \frac{e^{x}}{x} $
What is a good Ansatz to find the particular solution? I've tried a few that haven't worked...Thanks