Internal problem ID [2142]
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]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {y}{x}-2 \ln \relax (x ) x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 19
dsolve(diff(y(x),x)-1/x*y(x)=2*x^2*ln(x),y(x), singsol=all)
\[ y \relax (x ) = \left (\ln \relax (x ) x^{2}-\frac {x^{2}}{2}+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 23
DSolve[y'[x]-1/x*y[x]==2*x^2*Log[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {x^3}{2}+x^3 \log (x)+c_1 x \\ \end{align*}