Internal problem ID [13256]
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: 2.3 (d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\sqrt {x +4}\, y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(sqrt(x+4)*diff(y(x),x)=1,y(x), singsol=all)
\[ y \left (x \right ) = 2 \sqrt {x +4}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 17
DSolve[Sqrt[x+4]*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 \sqrt {x+4}+c_1 \]