Internal problem ID [127]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 y x^{2}+y^{\prime } x^{3}-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 12
dsolve(2*x^2*y(x)+x^3*diff(y(x),x) = 1,y(x), singsol=all)
\[ y \relax (x ) = \frac {\ln \relax (x )+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 14
DSolve[2*x^2*y[x]+x^3*y'[x] == 1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {\log (x)+c_1}{x^2} \\ \end{align*}