Internal problem ID [568]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {x^{3}-2 y}{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x) = (x^3-2*y(x))/x,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{5}}{5}+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 19
DSolve[y'[x]== (x^3-2*y[x])/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3}{5}+\frac {c_1}{x^2} \\ \end{align*}