Internal problem ID [1897]
Book: Differential Equations, Nelson, Folley, Coral, 3rd ed, 1964
Section: Exercis 5, page 21
Problem number: 28.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, _Abel]
Solve \begin {gather*} \boxed {x^{2}+3 y^{\prime } x -y^{3}-2 y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 7
dsolve([x^2+3*x*diff(y(x),x)=y(x)^3+2*y(x),y(1) = 1],y(x), singsol=all)
\[ y \relax (x ) = x^{\frac {2}{3}} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x^2+3*x*y'[x]==y[x]^3+2*y[x],y[1]==1},y[x],x,IncludeSingularSolutions -> True]
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