74.3.15 problem 13 (d)

Internal problem ID [15875]
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 : 13 (d)
Date solved : Tuesday, January 28, 2025 at 08:11:23 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\sqrt {y^{2}-1} \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 5

dsolve([diff(y(t),t)=sqrt(y(t)^2-1),y(2) = 1],y(t), singsol=all)
 

\[ y = 1 \]

✓ Solution by Mathematica

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

DSolve[{D[y[t],t]==Sqrt[y[t]^2-1],{y[2]==1}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 1 \]