Internal problem ID [7589]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+y \tan \relax (x )-\sin \left (2 x \right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 13
dsolve(diff(y(x),x) + y(x)*tan(x) - sin(2*x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (-2 \cos \relax (x )+c_{1}\right ) \cos \relax (x ) \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 15
DSolve[y'[x]+ y[x]*Tan[x] - Sin[2*x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \cos (x) (-2 \cos (x)+c_1) \\ \end{align*}