Internal problem ID [2137]
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 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {y}{x \ln \relax (x )}-9 x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 23
dsolve(diff(y(x),x)+1/(x*ln(x))*y(x)=9*x^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {3 x^{3} \ln \relax (x )-x^{3}+c_{1}}{\ln \relax (x )} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 24
DSolve[y'[x]+1/(x*Log[x])*y[x]==9*x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 x^3+\frac {-x^3+c_1}{\log (x)} \\ \end{align*}