73.1.14 problem 2.3 (d)

Internal problem ID [14992]
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)
Date solved : Tuesday, January 28, 2025 at 07:27:09 AM
CAS classification : [_quadrature]

\begin{align*} \sqrt {x +4}\, y^{\prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(sqrt(x+4)*diff(y(x),x)=1,y(x), singsol=all)
 

\[ y = 2 \sqrt {x +4}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 17

DSolve[Sqrt[x+4]*D[y[x],x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 \sqrt {x+4}+c_1 \]