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]
Solve \begin {gather*} \boxed {y^{\prime }-2 x \sec \relax (y)=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(diff(y(x),x) = 2*x*sec(y(x)),y(x), singsol=all)
\[ y \relax (x ) = \arcsin \left (x^{2}+2 c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.441 (sec). Leaf size: 12
DSolve[y'[x]==2*x*Sec[y[x]],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ArcSin}\left (x^2+c_1\right ) \\ \end{align*}