There are many applications for the Laplace transform, including transforming types of differential equations. This comes up often in electronics where you have time-varying components like ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Introduction to differential ... linear equations with constant coefficients, and systems of first-order equations. Applications of each topic are introduced and qualitative, analytical, and numerical ...

linear second order differential equations, higher order linear differential equations, systems of first-order differential equations. Laplace transforms. Numerical methods. Applications to physical ...

Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, and Reimann-Hilbert boundary-value problems, conformal mapping to ideal fluid flow and ...