Internal problem ID [76]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (-3+2 x \right ) y+y^{\prime } x -4 x^{4}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 19
dsolve((-3+2*x)*y(x)+x*diff(y(x),x) = 4*x^4,y(x), singsol=all)
\[ y \relax (x ) = 2 x^{3}+{\mathrm e}^{-2 x} c_{1} x^{3} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 19
DSolve[(-3+2*x)*y[x]+x*y'[x] == 4*x^4,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^3 \left (2+c_1 e^{-2 x}\right ) \\ \end{align*}