35.8.12 problem 12

Internal problem ID [6219]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 13. Miscellaneous problems. page 466
Problem number : 12
Date solved : Monday, January 27, 2025 at 01:48:21 PM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(x*diff(y(x),x$2)+diff(y(x),x)=4*x,y(x), singsol=all)
 

\[ y = x^{2}+c_{1} \ln \left (x \right )+c_{2} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 16

DSolve[x*D[y[x],{x,2}]+D[y[x],x]==4*x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2+c_1 \log (x)+c_2 \]