Internal problem ID [12630]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{2}+3 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)=y(x)^2-3*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {3}{1+3 c_{1} {\mathrm e}^{3 x}} \]
✓ Solution by Mathematica
Time used: 0.352 (sec). Leaf size: 29
DSolve[y'[x]==y[x]^2-3*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {3}{1+e^{3 (x+c_1)}} \\ y(x)\to 0 \\ y(x)\to 3 \\ \end{align*}