Internal problem ID [2434]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 2(c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {2}{\sqrt {1-x^{2}}}} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 10
dsolve(diff(y(x),x)=2/sqrt(1-x^2),y(x), singsol=all)
\[ y \left (x \right ) = 2 \arcsin \left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 28
DSolve[y'[x]==2/Sqrt[1-x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -4 \arctan \left (\frac {\sqrt {1-x^2}}{x+1}\right )+c_1 \]