16.1.13 problem 3(g)

Internal problem ID [3415]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 3(g)
Date solved : Monday, January 27, 2025 at 07:36:08 AM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{2}-3 y^{\prime }+2&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(diff(y(x),x)^2-3*diff(y(x),x)+2=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 19

DSolve[(D[y[x],x])^2-3*D[y[x],x]+2==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to x+c_1 \\ y(x)\to 2 x+c_1 \\ \end{align*}