Internal problem ID [1143]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 5 linear second order equations. Section 5.6 Reduction or order. Page
253
Problem number: 38 part (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+y^{2}-3 y+2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 20
dsolve(diff(y(x),x)+y(x)^2-3*y(x)+2=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {2 \,{\mathrm e}^{x} c_{1}-1}{{\mathrm e}^{x} c_{1}-1} \]
✓ Solution by Mathematica
Time used: 0.972 (sec). Leaf size: 31
DSolve[y'[x]+y[x]^2-3*y[x]+2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 1+\frac {1}{1-e^{-x+c_1}} \\ y(x)\to 1 \\ y(x)\to 2 \\ \end{align*}