1.8 problem 2(b)

Internal problem ID [2527]

Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 2(b).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

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

Solution by Maple

Time used: 0.016 (sec). Leaf size: 13

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

\[ y \relax (x ) = \left (\frac {x^{2}}{2}+c_{1}\right ) x \]

Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 17

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

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