Internal problem ID [4999]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston.
Pearson 2018.
Section: Chapter 2, First order differential equations. Review problems. page 79
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {3 y}{x}=x^{2}-4 x +3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x)+3*y(x)/x=x^2-4*x+3,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{3}}{6}-\frac {4 x^{2}}{5}+\frac {3 x}{4}+\frac {c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 31
DSolve[y'[x]+3*y[x]/x==x^2-4*x+3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{6}+\frac {c_1}{x^3}-\frac {4 x^2}{5}+\frac {3 x}{4} \]