Internal problem ID [14994]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 4. Equations with variables separable and equations reducible to them. Exercises
page 38
Problem number: 87.
ODE order: 1.
ODE degree: 0.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\sin \left (y^{\prime }\right )=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(sin(diff(y(x),x))=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: 0.008 (sec). Leaf size: 23
DSolve[Sin[y'[x]]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \arcsin (x)+\sqrt {1-x^2}+c_1 \]