Internal problem ID [1925]
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]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {2}{\sqrt {1-x^{2}}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x)=2/sqrt(1-x^2),y(x), singsol=all)
\[ y \relax (x ) = 2 \arcsin \relax (x )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 12
DSolve[y'[x]==2/Sqrt[1-x^2],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2 \text {ArcSin}(x)+c_1 \\ \end{align*}