Internal problem ID [910]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x^{2}+3 y x -{\mathrm e}^{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x) +3*x*y(x)=exp(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {\left (x -1\right ) {\mathrm e}^{x}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 19
DSolve[x^2*y'[x] +3*x*y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {e^x (x-1)+c_1}{x^3} \\ \end{align*}