73.1.36 problem 2.6 (b iii)

Internal problem ID [15014]
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 (b iii)
Date solved : Tuesday, January 28, 2025 at 07:27:33 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (1\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.018 (sec). Leaf size: 17

dsolve([diff(y(x),x)=3*sqrt(x+3),y(1) = 0],y(x), singsol=all)
 

\[ y = -16+\left (2 x +6\right ) \sqrt {x +3} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 16

DSolve[{D[y[x],x]==3*Sqrt[x+3],{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 \left ((x+3)^{3/2}-8\right ) \]