Internal problem ID [2151]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 22.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+\frac {y^{\prime }}{x}-9 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 13
dsolve(diff(y(x),x$2)+1/x*diff(y(x),x)=9*x,y(x), singsol=all)
\[ y \relax (x ) = x^{3}+\ln \relax (x ) c_{1}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 16
DSolve[y''[x]+1/x*y'[x]==9*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^3+c_1 \log (x)+c_2 \\ \end{align*}