Internal problem ID [1935]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(g).
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}-3 y^{\prime }+2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 15
dsolve(diff(y(x),x)^2-3*diff(y(x),x)+2=0,y(x), singsol=all)
\begin{align*} y \relax (x ) = 2 x +c_{1} \\ y \relax (x ) = c_{1}+x \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 19
DSolve[(y'[x])^2-3*y'[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*}