78.10.9 problem 7 (a)

Internal problem ID [18270]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 3. Second order linear equations. Section 15. The General Solution of the Homogeneous Equation. Problems at page 117
Problem number : 7 (a)
Date solved : Tuesday, January 28, 2025 at 11:44:57 AM
CAS classification : [[_2nd_order, _missing_x], _Liouville, [_2nd_order, _reducible, _mu_xy]]

\begin{align*} y^{\prime \prime }+{y^{\prime }}^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 10

dsolve(diff(y(x),x$2)+diff(y(x),x)^2=0,y(x), singsol=all)
 

\[ y = \ln \left (c_{1} x +c_{2} \right ) \]

✓ Solution by Mathematica

Time used: 0.173 (sec). Leaf size: 15

DSolve[D[y[x],{x,2}] +D[y[x],x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \log (x-c_1)+c_2 \]