Differential equations, including partial differential equations (PDEs) and ordinary differential equations (ODEs), are integral to various fields of physics. Key applications include fluid mechanics, where the Navier-Stokes and Laplace's equations are utilized; elasticity theory in solid mechanics; the field equations of general relativity; and the Schrödinger equation in quantum mechanics. These equations serve as fundamental tools for modeling physical systems across theoretical physics. The discussion highlights the pervasive nature of differential equations in physics literature and the need for accessible resources.
PREREQUISITESThis discussion is beneficial for physics students, educators, and researchers interested in the mathematical foundations of physical theories and the application of differential equations in modeling physical phenomena.
