Internal problem ID [2084]
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: 55.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 y x -2 y+x \left (x -1\right ) y^{\prime }=-1} \] With initial conditions \begin {align*} [y \left (2\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve([(2*x*y(x)-2*y(x)+1)+x*(x-1)*diff(y(x),x)=0,y(2) = 2],y(x), singsol=all)
\[ y = \frac {-x -\ln \left (x -1\right )+10}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 17
DSolve[{(2*x*y[x]-2*y[x]+1)+x*(x-1)*y'[x]==0,{y[2]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x+\log (x-1)-10}{x^2} \]