55.1.1 problem HW 1 problem 6(a)

Internal problem ID [8697]
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)
Date solved : Monday, January 27, 2025 at 04:19:29 PM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {y}{x \ln \left (x \right )} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

dsolve(diff(y(x),x)=y(x)/(x*ln(x)),y(x), singsol=all)
 

\[ y = c_{1} \ln \left (x \right ) \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 15

DSolve[D[y[x],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*}