1.13 problem 3(g)

Internal problem ID [2444]

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]

\[ \boxed {{y^{\prime }}^{2}-3 y^{\prime }=-2} \]

✓ Solution by Maple

Time used: 0.0 (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 ) &= c_{1} +x \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.003 (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*}