36.3.2 problem 2

Internal problem ID [6323]
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
Date solved : Monday, January 27, 2025 at 01:56:32 PM
CAS classification : [_linear]

\begin{align*} x^{{10}/{3}}-2 y+x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 18

dsolve((x^(10/3)-2*y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = -\frac {\left (3 x^{{4}/{3}}-4 c_{1} \right ) x^{2}}{4} \]

✓ Solution by Mathematica

Time used: 0.035 (sec). Leaf size: 21

DSolve[(x^(10/3)-2*y[x])+x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {3 x^{10/3}}{4}+c_1 x^2 \]