Internal problem ID [4495]
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]
\[ \boxed {x y^{\prime }+y=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(x*diff(y(x),x)+y(x)=x^3,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{4}+4 c_{1}}{4 x} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 19
DSolve[x*y'[x]+y[x]==x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{4}+\frac {c_1}{x} \]