36.2.10 problem 10

Internal problem ID [6303]
Book : Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson 2018.
Section : Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page 54
Problem number : 10
Date solved : Monday, January 27, 2025 at 01:55:32 PM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 13

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

\[ y \left (x \right ) = \frac {c_{1} x -1}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 15

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

\[ y(x)\to \frac {-1+c_1 x}{x^3} \]