Internal problem ID [13280]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.7 b.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {x}{\sqrt {x^{2}+5}}} \] With initial conditions \begin {align*} [y \left (2\right ) = 7] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 13
dsolve([diff(y(x),x)=x/sqrt(x^2+5),y(2) = 7],y(x), singsol=all)
\[ y \left (x \right ) = \sqrt {x^{2}+5}+4 \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 16
DSolve[{y'[x]==x/Sqrt[x^2+5],{y[2]==7}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sqrt {x^2+5}+4 \]