Internal problem ID [63]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {-3 y+2 y^{\prime } x -9 x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(-3*y(x)+2*x*diff(y(x),x) = 9*x^3,y(x), singsol=all)
\[ y \relax (x ) = 3 x^{3}+x^{\frac {3}{2}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 19
DSolve[-3*y[x]+2*x*y'[x] == 9*x^3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 x^3+c_1 x^{3/2} \\ \end{align*}