39.4.8 problem Problem 12.16

Internal problem ID [6542]
Book : Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill 2014
Section : Chapter 12. VARIATION OF PARAMETERS. Supplementary Problems. page 109
Problem number : Problem 12.16
Date solved : Monday, January 27, 2025 at 02:12:01 PM
CAS classification : [_linear]

\begin{align*} y^{\prime }-\frac {y}{x}&=x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

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

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 17

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

\[ y(x)\to \frac {x^3}{2}+c_1 x \]