8.6.7 problem 7

Internal problem ID [777]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 7
Date solved : Monday, January 27, 2025 at 03:04:46 AM
CAS classification : [_linear]

\begin{align*} 2 x^{2} y+x^{3} y^{\prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

dsolve(2*x^2*y(x)+x^3*diff(y(x),x) = 1,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 14

DSolve[2*x^2*y[x]+x^3*D[y[x],x] == 1,y[x],x,IncludeSingularSolutions -> True]
 

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