Advanced Analysis II: Differential Equations

Related lectures (28)

Page 3 of 3

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.