73.6.16 problem 7.5 (f)

Internal problem ID [15155]
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)
Date solved : Tuesday, January 28, 2025 at 07:38:33 AM
CAS classification : [_separable]

\begin{align*} 2 x \left (y+1\right )-y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(2*x*(y(x)+1)-diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{x^{2}} c_{1} -1 \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 20

DSolve[2*x*(y[x]+1)-D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -1+c_1 e^{x^2} \\ y(x)\to -1 \\ \end{align*}