10.6.1 problem 1

Internal problem ID [1218]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Miscellaneous problems, end of chapter 2. Page 133
Problem number : 1
Date solved : Monday, January 27, 2025 at 04:45:40 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }&=\frac {x^{3}-2 y}{x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

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

\[ y = \frac {x^{5}+5 c_1}{5 x^{2}} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 19

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

\[ y(x)\to \frac {x^3}{5}+\frac {c_1}{x^2} \]