55.1.8 problem HW 1 problem 14

Internal problem ID [8704]
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 14
Date solved : Monday, January 27, 2025 at 04:19:48 PM
CAS classification : [_linear]

\begin{align*} y x -1+x^{2} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve((x*y(x)-1)+x^2*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 14

DSolve[(x*y[x]-1)+x^2*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {\log (x)+c_1}{x} \]