Internal problem ID [3492]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 236.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 x y^{\prime }+y=2 x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(2*x*diff(y(x),x) = 2*x^3-y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 x^{3}}{7}+\frac {c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 21
DSolve[2 x y'[x]==2 x^3-y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^3}{7}+\frac {c_1}{\sqrt {x}} \]