Internal problem ID [4443]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page
54
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {x^{\prime }+x t -{\mathrm e}^{x}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(x(t),t)+x(t)*t=exp(x(t)),x(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x'[t]+x[t]*t==Exp[x[t]],x[t],t,IncludeSingularSolutions -> True]
Not solved