35.8.25 problem 25

Internal problem ID [6232]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 13. Miscellaneous problems. page 466
Problem number : 25
Date solved : Monday, January 27, 2025 at 01:49:33 PM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (1\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.008 (sec). Leaf size: 9

dsolve([3*x^2*y(x)+x^3*diff(y(x),x)=0,y(1) = 2],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.039 (sec). Leaf size: 10

DSolve[{3*x^2*y[x]+x^3*D[y[x],x]==0,{y[1]==2}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {2}{x^3} \]