Internal problem ID [8419]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 82.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }-a \left (1+\tan \left (y\right )^{2}\right )+\tan \left (y\right ) \tan \left (x \right )=0} \]
✗ Solution by Maple
dsolve(diff(y(x),x) - a*(1+tan(y(x))^2) + tan(y(x))*tan(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]- a*(1+Tan[y[x]]^2) + Tan[y[x]]*Tan[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved