50.7.7 problem 1(g)

Internal problem ID [7911]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.9. Reduction of Order. Page 38
Problem number : 1(g)
Date solved : Monday, January 27, 2025 at 03:31:54 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: 0.029 (sec). Leaf size: 16

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

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