Internal problem ID [3987]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 2. Special types of differential equations of the first kind. Lesson 11, Bernoulli
Equations
Problem number: Exercise 11.1, page 97.
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: 15
dsolve(x*diff(y(x),x)+y(x)=x^3,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{4}}{4}+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 19
DSolve[x*y'[x]+y[x]==x^3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3}{4}+\frac {c_1}{x} \\ \end{align*}