This page outlines exercises centered on solving differential equations, emphasizing Frobenius-type solutions and the classification of singular points. Techniques discussed include series expansions ...This page outlines exercises centered on solving differential equations, emphasizing Frobenius-type solutions and the classification of singular points. Techniques discussed include series expansions and identifying both particular and general solutions. Specific tasks involve finding solutions for various equations and analyzing singular points at x=0.
This page explores power series as solutions to differential equations, covering definitions and series solutions around ordinary points, as well as addressing singular points using the Frobenius meth...This page explores power series as solutions to differential equations, covering definitions and series solutions around ordinary points, as well as addressing singular points using the Frobenius method. It notes that certain singular points may allow power series solutions, while others may necessitate alternative methods. Exercises are provided for practice.
