Internal problem ID [6612]
Book: First order enumerated odes
Section: section 1
Problem number: 49.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}-x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.266 (sec). Leaf size: 21
dsolve(diff(y(x),x)^2=x,y(x), singsol=all)
\begin{align*} y \relax (x ) = \frac {2 x^{\frac {3}{2}}}{3}+c_{1} \\ y \relax (x ) = -\frac {2 x^{\frac {3}{2}}}{3}+c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 33
DSolve[(y'[x])^2==x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {2 x^{3/2}}{3}+c_1 \\ y(x)\to \frac {2 x^{3/2}}{3}+c_1 \\ \end{align*}