Internal problem ID [34]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.4. Separable equations. Page 43
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-2 x \sec \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x) = 2*x*sec(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (x^{2}+2 c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.841 (sec). Leaf size: 12
DSolve[y'[x]==2*x*Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \arcsin \left (x^2+c_1\right ) \]