Internal problem ID [13099]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 7. The exact form and general integrating fators. Additional exercises. page
141
Problem number: 7.5 (f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {2 x \left (y+1\right )-y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(2*x*(y(x)+1)-diff(y(x),x)=0,y(x), singsol=all)
\[ y = -1+c_{1} {\mathrm e}^{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 20
DSolve[2*x*(y[x]+1)-y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -1+c_1 e^{x^2} y(x)\to -1 \end{align*}