74.3.17 problem 14 (b)

Internal problem ID [15877]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number : 14 (b)
Date solved : Tuesday, January 28, 2025 at 08:16:12 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\sqrt {25-y^{2}} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 5

dsolve([diff(y(t),t)=sqrt(25-y(t)^2),y(0) = 5],y(t), singsol=all)
 

\[ y = 5 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 6

DSolve[{D[y[t],t]==Sqrt[25-y[t]^2],{y[0]==5}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 5 \]