Internal problem ID [12259]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 20.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+\frac {1}{2 y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x)+1/(2*y(x))=0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = \sqrt {-x +c_{1}} y \left (x \right ) = -\sqrt {-x +c_{1}} \end{align*}
✓ Solution by Mathematica
Time used: 0.113 (sec). Leaf size: 35
DSolve[y'[x]+1/(2*y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\sqrt {-x+2 c_1} y(x)\to \sqrt {-x+2 c_1} \end{align*}