63.5.6 problem 1(f)

Internal problem ID [13080]
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)
Date solved : Tuesday, January 28, 2025 at 04:51:37 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} {x^{\prime }}^{2}+x t&=\sqrt {1+t} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[x[t],t]^2+t*x[t]==Sqrt[1+t],x[t],t,IncludeSingularSolutions -> True]
 

Not solved