Internal problem ID [3898]
Book: Differential Equations, By George Boole F.R.S. 1865
Section: Chapter 7
Problem number: 1.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}-5 y^{\prime }+6=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve((diff(y(x),x))^2-5*diff(y(x),x)+6=0,y(x), singsol=all)
\begin{align*} y \relax (x ) = 3 x +c_{1} \\ y \relax (x ) = 2 x +c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 21
DSolve[(y'[x])^2-5*y'[x]+6==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2 x+c_1 \\ y(x)\to 3 x+c_1 \\ \end{align*}