7.2 problem 2

Internal problem ID [9730]

Book: Handbook of exact solutions for ordinary differential equations. By Polyanin and Zaitsev. Second edition
Section: Chapter 1, section 1.2. Riccati Equation. subsection 1.2.5-1. Equations Containing Logarithmic Functions
Problem number: 2.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type unknown

\[ \boxed {y^{\prime } x -y^{2} a -b \ln \left (x \right )-c=0} \]

Solution by Maple

dsolve(x*diff(y(x),x)=a*y(x)^2+b*ln(x)+c,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[x*y'[x]==a*y[x]^2+b*Log[x]+c,y[x],x,IncludeSingularSolutions -> True]
 

Not solved