Internal problem ID [2651]
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 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{x}=2 \ln \left (x \right ) x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x)-1/x*y(x)=2*x^2*ln(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (\ln \left (x \right ) x^{2}-\frac {x^{2}}{2}+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 23
DSolve[y'[x]-1/x*y[x]==2*x^2*Log[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x^3}{2}+x^3 \log (x)+c_1 x \]