64.5.2 problem 2

Internal problem ID [13315]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 2, section 2.3 (Linear equations). Exercises page 56
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 05:21:56 AM
CAS classification : [_linear]

\begin{align*} x^{4} y^{\prime }+2 x^{3} y&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(x^4*diff(y(x),x)+2*x^3*y(x)=1,y(x), singsol=all)
 

\[ y = \frac {c_{1} x -1}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.033 (sec). Leaf size: 15

DSolve[x^4*D[y[x],x]+2*x^3*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

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