61.24.21 problem 21

Internal problem ID [12434]
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. subsection 1.3.3-2.
Problem number : 21
Date solved : Tuesday, January 28, 2025 at 03:02:47 AM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} y^{\prime } y+\frac {a \left (13 x -20\right ) y}{14 x^{{9}/{7}}}&=-\frac {3 a^{2} \left (x -1\right ) \left (x -8\right )}{14 x^{{11}/{17}}} \end{align*}

✗ Solution by Maple

dsolve(y(x)*diff(y(x),x)+1/14*a*(13*x-20)*x^(-9/7)*y(x)=-3/14*a^2*(x-1)*(x-8)*x^(-11/17),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[y[x]*D[y[x],x]+1/14*a*(13*x-20)*x^(-9/7)*y[x]==-3/14*a^2*(x-1)*(x-8)*x^(-11/17),y[x],x,IncludeSingularSolutions -> True]
 

Timed out