Internal problem ID [61]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y+3 y^{\prime } x -12 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 13
dsolve(y(x)+3*x*diff(y(x),x) = 12*x,y(x), singsol=all)
\[ y \relax (x ) = 3 x +\frac {c_{1}}{x^{\frac {1}{3}}} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 17
DSolve[y[x]+3*x*y'[x] == 12*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 x+\frac {c_1}{\sqrt [3]{x}} \\ \end{align*}