Internal problem ID [3783]
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`]]
\[ \boxed {\left (a +x \left (y+x \right )\right ) y^{\prime }-b \left (y+x \right ) y=0} \]
✗ 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