Internal problem ID [9195]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1616 (6.26).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+a y^{\prime }+b y^{n}+\frac {\left (a^{2}-1\right ) y}{4}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)+b*y(x)^n + 1/4*(a^2-1)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[((-1 + a^2)*y[x])/4 + b*y[x]^n + a*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved