Internal problem ID [3275]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 19
Problem number: 531.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {\left (a +x \left (x +y\right )\right ) y^{\prime }-b \left (x +y\right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve((a+x*(x+y(x)))*diff(y(x),x) = b*(x+y(x))*y(x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(a+x(x+y[x]))y'[x]==b(x+y[x])y[x],y[x],x,IncludeSingularSolutions -> True]
Not solved