1.202 problem 203

Internal problem ID [7783]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 203.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_rational, [_Abel, 2nd type, class A]]

Solve \begin {gather*} \boxed {y y^{\prime }+y+x^{3}=0} \end {gather*}

Solution by Maple

dsolve(y(x)*diff(y(x),x)+y(x)+x^3=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y[x]*y'[x]+y[x]+x^3==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved