In this article, we study a first order nonlinear delay differential equation x'( t )+ ∑ i=1 m p i ( t ) f i ( x( τ i ( t ) ) )=0, t≥ t 0 , where pi(t) and τi(t) are the functions of nonnegative of ...

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

A direct power series substitution technique is proposed to solve second order nonlinear differential equations. The errors in truncated power series are estimated to determine the significance of the ...