Internal problem ID [14073]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 36.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {x}{\sqrt {x^{2}-16}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(x),x)=x/sqrt(x^2-16),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (x -4\right ) \left (x +4\right )}{\sqrt {x^{2}-16}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 17
DSolve[y'[x]==x/Sqrt[x^2-16],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sqrt {x^2-16}+c_1 \]