Internal problem ID [10576]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y^{2}}{x -2}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([diff(y(x),x)=y(x)^2/(x-2),y(1) = 0],y(x), singsol=all)
\[ y \left (x \right ) = 0 \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 6
DSolve[{y'[x]==y[x]^2/(x-2),{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ \end{align*}