Internal problem ID [140]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 20.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {3 y+y^{\prime } x=\frac {3}{x^{\frac {3}{2}}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(3*y(x)+x*diff(y(x),x) = 3/x^(3/2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 x^{\frac {3}{2}}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 19
DSolve[3*y[x]+x*y'[x]== 3/x^(3/2),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^{3/2}+c_1}{x^3} \]