Internal problem ID [11641]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 2, section 2.3 (Linear equations). Exercises page 56
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+4 y x=8 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)+4*x*y(x)=8*x,y(x), singsol=all)
\[ y \left (x \right ) = 2+{\mathrm e}^{-2 x^{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 22
DSolve[y'[x]+4*x*y[x]==8*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2+c_1 e^{-2 x^2} \\ y(x)\to 2 \\ \end{align*}