Internal problem ID [2437]
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]
\[ \boxed {y^{\prime }=\arcsin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x)=arcsin(x),y(x), singsol=all)
\[ y \left (x \right ) = x \arcsin \left (x \right )+\sqrt {-x^{2}+1}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 23
DSolve[y'[x]==ArcSin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \arcsin (x)+\sqrt {1-x^2}+c_1 \]