Internal problem ID [2116]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.4, Separable Differential Equations.
page 43
Problem number: Problem 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {y}{x \ln \relax (x )}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(diff(y(x),x)=y(x)/(x*ln(x)),y(x), singsol=all)
\[ y \relax (x ) = \ln \relax (x ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 15
DSolve[y'[x]==y[x]/(x*Log[x]),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \log (x) \\ y(x)\to 0 \\ \end{align*}