73.4.15 problem 5.2 (e)

Internal problem ID [15097]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page 103
Problem number : 5.2 (e)
Date solved : Tuesday, January 28, 2025 at 07:30:37 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+3 y-10 x^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(x*diff(y(x),x)+3*y(x)-10*x^2=0,y(x), singsol=all)
 

\[ y = \frac {2 x^{5}+c_{1}}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 17

DSolve[x*D[y[x],x]+3*y[x]-10*x^2==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {2 x^5+c_1}{x^3} \]