10.5.10 problem 10

Internal problem ID [1202]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.6. Page 100
Problem number : 10
Date solved : Monday, January 27, 2025 at 04:44:54 AM
CAS classification : [_linear]

\begin{align*} \frac {y}{x}+6 x +\left (\ln \left (x \right )-2\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 18

dsolve((y(x)/x+6*x)+(ln(x)-2)*diff(y(x),x) = 0,y(x), singsol=all)
 

\[ y = \frac {-3 x^{2}+c_1}{\ln \left (x \right )-2} \]

✓ Solution by Mathematica

Time used: 0.076 (sec). Leaf size: 20

DSolve[(y[x]/x+6*x)+(Log[x]-2)*D[y[x],x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {-3 x^2+c_1}{\log (x)-2} \]