Internal problem ID [15123]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 11. Singular solutions of differential equations. Exercises page 92
Problem number: 261.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{y^{\prime }}^{2}-4 y=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve(diff(y(x),x)^2-4*y(x)=0,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= 0 \\ y \left (x \right ) &= \left (x -c_{1} \right )^{2} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 38
DSolve[y'[x]^2-4*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{4} (-2 x+c_1){}^2 \\ y(x)\to \frac {1}{4} (2 x+c_1){}^2 \\ y(x)\to 0 \\ \end{align*}