Internal problem ID [3461]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 7
Problem number: 205.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _dAlembert]
\[ \boxed {x y^{\prime }-y+x \sec \left (\frac {y}{x}\right )=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(x*diff(y(x),x)-y(x)+x*sec(y(x)/x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\arcsin \left (\ln \left (x \right )+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.408 (sec). Leaf size: 15
DSolve[x y'[x]-y[x]+x Sec[y[x]/x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \arcsin (-\log (x)+c_1) \]