Internal problem ID [14958]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 2. The method of isoclines. Exercises page 27
Problem number: 31.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y+1}{x -1}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(x),x)=(y(x)+1)/(x-1),y(x), singsol=all)
\[ y \left (x \right ) = -1+\left (-1+x \right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 18
DSolve[y'[x]==(y[x]+1)/(x-1),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -1+c_1 (x-1) \\ y(x)\to -1 \\ \end{align*}