Internal problem ID [1064]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page
91
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {3 y x^{2}+2 y^{\prime } x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 9
dsolve(3*x^2*y(x)+2*x^3*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1}}{x^{\frac {3}{2}}} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 18
DSolve[3*x^2*y[x]+2*x^3*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{x^{3/2}} \\ y(x)\to 0 \\ \end{align*}