Internal problem ID [1067]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page
91
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y x +2 y+\left (x +1\right ) y^{\prime }=-x -1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 20
dsolve((x*y(x)+x+2*y(x)+1)+(x+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{-x} c_{1} -x}{x +1} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 23
DSolve[(x*y[x]+x+2*y[x]+1)+(x+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x-c_1 e^{-x}}{x+1} \]