37.3.9 problem 10.4.9 (i)

Internal problem ID [6415]
Book : Basic Training in Mathematics. By R. Shankar. Plenum Press. NY. 1995
Section : Chapter 10, Differential equations. Section 10.4, ODEs with variable Coefficients. Second order and Homogeneous. page 318
Problem number : 10.4.9 (i)
Date solved : Monday, January 27, 2025 at 02:01:01 PM
CAS classification : [_linear]

\begin{align*} y^{\prime }-\frac {2 y}{x}-x^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

dsolve(diff(y(x),x)-2*y(x)/x-x^2=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 13

DSolve[D[y[x],x]-2*y[x]/x-x^2==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2 (x+c_1) \]