Internal problem ID [2083]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 54.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, [_Abel, `2nd type`, `class B`]]
\[ \boxed {y^{2}+\left (x^{3}-2 y x \right ) y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.969 (sec). Leaf size: 29
dsolve([y(x)^2+(x^3-2*x*y(x))*diff(y(x),x)=0,y(2) = 1],y(x), singsol=all)
\[ y = \operatorname {RootOf}\left (12 x^{6} \textit {\_Z}^{8}-8 x^{6} \textit {\_Z}^{6}+5\right )^{2} x^{2} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y[x]^2+(x^3-2*x*y[x])*y'[x]==0,{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
Timed out