Internal problem ID [4125]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 30
Problem number: 889.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {4 \left (-x +2\right ) {y^{\prime }}^{2}=-1} \]
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 23
dsolve(4*(2-x)*diff(y(x),x)^2+1 = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = -\sqrt {x -2}+c_{1} y \left (x \right ) = \sqrt {x -2}+c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 31
DSolve[4(2-x) (y'[x])^2+1==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\sqrt {x-2}+c_1 y(x)\to \sqrt {x-2}+c_1 \end{align*}