19.11 problem 524

Internal problem ID [3776]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 19
Problem number: 524.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_rational, [_Abel, `2nd type`, `class B`]]

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

Solution by Maple

dsolve(x*(a+y(x))*diff(y(x),x)+b*x+c*y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[x(a+y[x])y'[x]+b x+c y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved