Internal problem ID [125]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {3 y+x^{4} y^{\prime }-2 y x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(3*y(x)+x^4*diff(y(x),x) = 2*x*y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{-\frac {x -1}{x^{3}}} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 24
DSolve[3*y[x]+x^4*y'[x] == 2*x*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{\frac {1-x}{x^3}} \\ y(x)\to 0 \\ \end{align*}