Internal problem ID [4682]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {4 y}{x}-x^{4}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+(4/x)*y(x)=x^4,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{9}}{9}+c_{1}}{x^{4}} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 19
DSolve[y'[x]+(4/x)*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^5}{9}+\frac {c_1}{x^4} \\ \end{align*}