Internal problem ID [2033]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\left (1-x \right ) y^{\prime }-y=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve((1-x)*diff(y(x),x)-(1+y(x))=0,y(x), singsol=all)
\[ y = \frac {c_{1} -x}{x -1} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 22
DSolve[(1-x)*y'[x]-(1+y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x+c_1}{1-x} y(x)\to -1 \end{align*}