Internal problem ID [1928]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 2(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\arcsin \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 19
dsolve(diff(y(x),x)=arcsin(x),y(x), singsol=all)
\[ y \relax (x ) = x \arcsin \relax (x )+\sqrt {-x^{2}+1}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 23
DSolve[y'[x]==ArcSin[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x \text {ArcSin}(x)+\sqrt {1-x^2}+c_1 \\ \end{align*}