8.6.20 problem 20

Internal problem ID [790]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 20
Date solved : Monday, January 27, 2025 at 03:06:44 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 15

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

\[ y = \frac {2 x^{{3}/{2}}+c_1}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.035 (sec). Leaf size: 19

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

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