Internal problem ID [4565]
Book: Basic Training in Mathematics. By R. Shankar. Plenum Press. NY. 1995
Section: Chapter 10, Differential equations. Section 10.4, ODEs with variable Coefficients. Second
order and Homogeneous. page 318
Problem number: 10.4.9 (ii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {2 y}{x}-x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 15
dsolve(diff(y(x),x)+2*y(x)/x-x^3=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{6}}{6}+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 13
DSolve[y'[x]-2*y[x]/x-x^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2 (x+c_1) \\ \end{align*}