Internal problem ID [13304]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.3 (f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+y x=4 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)+x*y(x)=4*x,y(x), singsol=all)
\[ y \left (x \right ) = 4+{\mathrm e}^{-\frac {x^{2}}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 24
DSolve[y'[x]+x*y[x]==4*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 4+c_1 e^{-\frac {x^2}{2}} \\ y(x)\to 4 \\ \end{align*}