78.3.7 problem 1 (g)

Internal problem ID [18110]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 2. First order equations. Section 7 (Homogeneous Equations). Problems at page 67
Problem number : 1 (g)
Date solved : Tuesday, January 28, 2025 at 11:28:19 AM
CAS classification : [_linear]

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

✓ Solution by Maple

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

dsolve(x*diff(y(x),x)=2*x+3*y(x),y(x), singsol=all)
 

\[ y = c_1 \,x^{3}-x \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 15

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

\[ y(x)\to x \left (-1+c_1 x^2\right ) \]