Internal problem ID [2785]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 2
Problem number: 30.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }-\sin \left (2 x \right )-y \tan \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 21
dsolve(diff(y(x),x) = sin(2*x)+y(x)*tan(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {-\frac {\cos \relax (x )}{2}-\frac {\cos \left (3 x \right )}{6}+c_{1}}{\cos \relax (x )} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 19
DSolve[y'[x]==Sin[2*x]+y[x]*Tan[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {2 \cos ^2(x)}{3}+c_1 \sec (x) \\ \end{align*}