2.2 problem 2

Internal problem ID [4951]

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')`]

\[ \boxed {x^{\prime }+x t -{\mathrm e}^{x}=0} \]

✗ 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