Internal problem ID [4979]
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]
\[ \boxed {x y^{\prime }-2 y=-x^{\frac {10}{3}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve((x^(10/3)-2*y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\left (3 x^{\frac {4}{3}}-4 c_{1} \right ) x^{2}}{4} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 21
DSolve[(x^(10/3)-2*y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {3 x^{10/3}}{4}+c_1 x^2 \]