Internal problem ID [12968]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 3. Some basics about First order equations. Additional exercises. page
63
Problem number: 3.4 a.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+3 y x=6 x} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve(diff(y(x),x)+3*x*y(x)=6*x,y(x), singsol=all)
\[ y = 2+c_{1} {\mathrm e}^{-\frac {3 x^{2}}{2}} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 24
DSolve[y'[x]+3*x*y[x]==6*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2+c_1 e^{-\frac {3 x^2}{2}} y(x)\to 2 \end{align*}