Internal problem ID [2279]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 35, page 157
Problem number: 7.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {\left (1-x \right ) y^{\prime \prime }-y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve((1-x)*diff(y(x),x$2)=diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = c_{2} \ln \left (x -1\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 18
DSolve[(1-x)*y''[x]==y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2-c_1 \log (1-x) \]