Internal problem ID [13041]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.2 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +3 y=10 x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)+3*y(x)-10*x^2=0,y(x), singsol=all)
\[ y = \frac {2 x^{5}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[x*y'[x]+3*y[x]-10*x^2==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^5+c_1}{x^3} \]