Internal problem ID [7825]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 245.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class G], _rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {\left (2 y x +4 x^{3}\right ) y^{\prime }+y^{2}+112 y x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 1.183 (sec). Leaf size: 31
dsolve((2*x*y(x)+4*x^3)*diff(y(x),x)+y(x)^2+112*x^2*y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1}}{x^{28} \RootOf \left (x^{30} \textit {\_Z}^{360}-24 x^{30} \textit {\_Z}^{330}-c_{1}\right )^{330}} \]
✓ Solution by Mathematica
Time used: 5.222 (sec). Leaf size: 1453
DSolve[(2*x*y[x]+4*x^3)*y'[x]+y[x]^2+112*x^2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
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