Internal problem ID [9936]
Book: Handbook of exact solutions for ordinary differential equations. By Polyanin and Zaitsev. Second
edition
Section: Chapter 1, section 1.3. Abel Equations of the Second Kind. Form \(y y'-y=f(x)\). subsection 1.3.1-2. Solvable
equations and their solutions
Problem number: 30.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {y^{\prime } y-y+\frac {3 x}{16}-\frac {A}{x^{\frac {5}{3}}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8477
dsolve(y(x)*diff(y(x),x)-y(x)=-3/16*x+A*x^(-5/3),y(x), singsol=all)
\[ \text {Expression too large to display} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]*y'[x]-y[x]==-3/16*x+A*x^(-5/3),y[x],x,IncludeSingularSolutions -> True]
Not solved