75.2.11 problem 31

Internal problem ID [16688]
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
Date solved : Tuesday, January 28, 2025 at 09:18:04 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {y+1}{x -1} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

dsolve(diff(y(x),x)=(y(x)+1)/(x-1),y(x), singsol=all)
 

\[ y = -1+c_{1} \left (x -1\right ) \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 18

DSolve[D[y[x],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*}