32.5.1 problem Exercise 11.1, page 97

Internal problem ID [5839]
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
Date solved : Monday, January 27, 2025 at 01:20:18 PM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+y&=x^{3} \end{align*}

✓ Solution by Maple

Time used: 0.002 (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: 0.033 (sec). Leaf size: 19

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

\[ y(x)\to \frac {x^3}{4}+\frac {c_1}{x} \]