Internal problem ID [2061]
Book: Differential equations and linear algebra, Stephen W. Goode, second edition, 2000
Section: 1.6, page 50
Problem number: 12.
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)-y(x)/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: 0.033 (sec). Leaf size: 23
DSolve[y'[x]-y[x]/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*}