73.1.34 problem 2.6 (b i)

Internal problem ID [15012]
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 i)
Date solved : Tuesday, January 28, 2025 at 07:27:32 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (1\right )&=16 \end{align*}

✓ Solution by Maple

Time used: 0.015 (sec). Leaf size: 11

dsolve([diff(y(x),x)=3*sqrt(x+3),y(1) = 16],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 14

DSolve[{D[y[x],x]==3*Sqrt[x+3],{y[1]==16}},y[x],x,IncludeSingularSolutions -> True]
 

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