Internal problem ID [2646]
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]
\[ \boxed {y^{\prime }+\frac {y}{\ln \left (x \right ) x}=9 x^{2}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 23
dsolve(diff(y(x),x)+1/(x*ln(x))*y(x)=9*x^2,y(x), singsol=all)
\[ y \left (x \right ) = \frac {3 x^{3} \ln \left (x \right )-x^{3}+c_{1}}{\ln \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 25
DSolve[y'[x]+1/(x*Log[x])*y[x]==9*x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-x^3+3 x^3 \log (x)+c_1}{\log (x)} \]