64.3.4 problem 4

Internal problem ID [13275]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 2, section 2.1 (Exact differential equations and integrating factors). Exercises page 37
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 05:13:57 AM
CAS classification : [_rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} 3 x^{2} y+2-\left (x^{3}+y\right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve((3*x^2*y(x)+2)-(x^3+y(x))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(3*x^2+2)-(x^3+y[x])*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved