8.31 problem 236

Internal problem ID [2984]

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]

Solve \begin {gather*} \boxed {2 y^{\prime } x -2 x^{3}+y=0} \end {gather*}

Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(2*x*diff(y(x),x) = 2*x^3-y(x),y(x), singsol=all)
 

\[ y \relax (x ) = \frac {2 x^{3}}{7}+\frac {c_{1}}{\sqrt {x}} \]

Solution by Mathematica

Time used: 0.03 (sec). Leaf size: 21

DSolve[2 x y'[x]==2 x^3-y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {2 x^3}{7}+\frac {c_1}{\sqrt {x}} \\ \end{align*}