Internal problem ID [3532]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 276.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {x^{2} y^{\prime }-\sec \left (y\right )-3 \tan \left (y\right ) x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x^2*diff(y(x),x) = sec(y(x))+3*x*tan(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (\frac {c_{1} x^{4}-1}{4 x}\right ) \]
✓ Solution by Mathematica
Time used: 10.03 (sec). Leaf size: 23
DSolve[x^2 y'[x]==Sec[y[x]]+3 x Tan[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\arcsin \left (\frac {1}{4 x}+3 c_1 x^3\right ) \]