Introduction to differential equations. Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order ...

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

G. J. Etgen, C. D. Shih, On the Oscillation of Certain Third Order Linear Differential Equations, Proceedings of the American Mathematical Society, Vol. 41, No. 1 ...

At its core, an Appell sequence is characterised by a shift-invariance under differentiation, making these polynomials a natural basis for solving linear differential equations.

S. C. Tefteller, Oscillation of Second Order Nonhomogeneous Linear Differential Equations, SIAM Journal on Applied Mathematics, Vol. 31, No. 3 (Nov., 1976), pp. 461-467 ...

The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...

Ordinary linear differential equations concern the physicist, on the one hand, by their occurrence in the analysis required for many of his most important problems; on the other, they offer the ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...