Internal problem ID [2612]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth
edition, 2015
Section: Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology.
page 21
Problem number: Problem 34.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {1}{x^{\frac {2}{3}}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(x),x)=x^(-2/3),y(x), singsol=all)
\[ y \left (x \right ) = 3 x^{\frac {1}{3}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 15
DSolve[y'[x]==x^(-2/3),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3 \sqrt [3]{x}+c_1 \]