73.1.33 problem 2.6 (a)

Internal problem ID [15011]
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 : 2.6 (a)
Date solved : Tuesday, January 28, 2025 at 07:27:31 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=3 \sqrt {x +3} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve(diff(y(x),x)=3*sqrt(x+3),y(x), singsol=all)
 

\[ y = \left (2 x +6\right ) \sqrt {x +3}+c_{1} \]

✓ Solution by Mathematica

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

DSolve[D[y[x],x]==3*Sqrt[x+3],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 (x+3)^{3/2}+c_1 \]