39.3.7 problem Problem 12.7

Internal problem ID [6533]
Book : Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill 2014
Section : Chapter 12. VARIATION OF PARAMETERS. page 104
Problem number : Problem 12.7
Date solved : Monday, January 27, 2025 at 02:11:43 PM
CAS classification : [_linear]

\begin{align*} y^{\prime }+\frac {4 y}{x}&=x^{4} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 16

dsolve(diff(y(x),x)+(4/x)*y(x)=x^4,y(x), singsol=all)
 

\[ y = \frac {x^{9}+9 c_1}{9 x^{4}} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 19

DSolve[D[y[x],x]+(4/x)*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^5}{9}+\frac {c_1}{x^4} \]