31.6.1 problem 1

Internal problem ID [5750]
Book : Differential Equations, By George Boole F.R.S. 1865
Section : Chapter 7
Problem number : 1
Date solved : Monday, January 27, 2025 at 01:12:43 PM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{2}-5 y^{\prime }+6&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve((diff(y(x),x))^2-5*diff(y(x),x)+6=0,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= 3 x +c_{1} \\ y \left (x \right ) &= 2 x +c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 21

DSolve[(D[y[x],x])^2-5*D[y[x],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*}