12.7.4 problem 4

Internal problem ID [1714]
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
Date solved : Monday, January 27, 2025 at 05:32:13 AM
CAS classification : [_separable]

\begin{align*} 3 x^{2} y+2 x^{3} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

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

\[ y = \frac {c_1}{x^{{3}/{2}}} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 18

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

\begin{align*} y(x)\to \frac {c_1}{x^{3/2}} \\ y(x)\to 0 \\ \end{align*}