Internal problem ID [12361]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.2, page 63
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {2 y y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(2*y(x)*diff(y(x),x)=1,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: 0.019 (sec). Leaf size: 31
DSolve[2*y[x]*y'[x]==1,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*}