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