64.1.15 problem 7(a)

Internal problem ID [13260]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 1, Differential equations and their solutions. Exercises page 13
Problem number : 7(a)
Date solved : Tuesday, January 28, 2025 at 05:13:23 AM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{2}-4 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.081 (sec). Leaf size: 15

dsolve(diff(y(x),x)^2-4*y(x)=0,y(x), singsol=all)
 

\begin{align*} y &= 0 \\ y &= \left (x -c_{1} \right )^{2} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.047 (sec). Leaf size: 38

DSolve[(D[y[x],x])^2-4*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {1}{4} (-2 x+c_1){}^2 \\ y(x)\to \frac {1}{4} (2 x+c_1){}^2 \\ y(x)\to 0 \\ \end{align*}