Internal problem ID [4471]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.4, Exact equations. Exercises. page
64
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x^{\frac {10}{3}}-2 y+x y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 15
dsolve((x^(10/3)-2*y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (-\frac {3 x^{\frac {4}{3}}}{4}+c_{1}\right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 21
DSolve[(x^(10/3)-2*y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {3 x^{10/3}}{4}+c_1 x^2 \\ \end{align*}