5.6 problem 1(f)

Internal problem ID [11404]

Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.4.1. Integrating factors. Exercises page 41
Problem number: 1(f).
ODE order: 1.
ODE degree: 2.

CAS Maple gives this as type [`y=_G(x,y')`]

\[ \boxed {{x^{\prime }}^{2}+x t=\sqrt {1+t}} \]

✗ Solution by Maple

dsolve(diff(x(t),t)^2+t*x(t)=sqrt(1+t),x(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[x'[t]^2+t*x[t]==Sqrt[1+t],x[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved