Internal problem ID [6275]
Book: Selected problems from homeworks from different courses
Section: Math 2520, summer 2021. Differential Equations and Linear Algebra. Normandale college,
Bloomington, Minnesota
Problem number: HW 1 problem 6(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y}{\ln \left (x \right ) x}=0} \]
✓ 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)
\[ y \left (x \right ) = c_{1} \ln \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.025 (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*}