64.2.10 problem 6(b)

Internal problem ID [13270]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 1, section 1.3. Exercises page 22
Problem number : 6(b)
Date solved : Tuesday, January 28, 2025 at 05:13:44 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {y^{2}}{x -2} \end{align*}

With initial conditions

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

✓ Solution by Maple

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

dsolve([diff(y(x),x)=y(x)^2/(x-2),y(1) = 0],y(x), singsol=all)
 

\[ y = 0 \]

✓ Solution by Mathematica

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

DSolve[{D[y[x],x]==y[x]^2/(x-2),{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 0 \]