Internal problem ID [11594]
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).
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{y^{\prime }}^{2}-4 y=0} \]
✓ Solution by Maple
Time used: 0.171 (sec). Leaf size: 19
dsolve(diff(y(x),x)^2-4*y(x)=0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = 0 y \left (x \right ) = c_{1}^{2}-2 x c_{1} +x^{2} \end{align*}
✓ Solution by Mathematica
Time used: 0.079 (sec). Leaf size: 38
DSolve[(y'[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*}