73.2.1 problem 3.4 a

Internal problem ID [15024]
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
Date solved : Tuesday, January 28, 2025 at 07:27:43 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }+3 y x&=6 x \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(diff(y(x),x)+3*x*y(x)=6*x,y(x), singsol=all)
 

\[ y = 2+{\mathrm e}^{-\frac {3 x^{2}}{2}} c_{1} \]

✓ Solution by Mathematica

Time used: 0.063 (sec). Leaf size: 24

DSolve[D[y[x],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*}