Internal problem ID [3043]
Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 3(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } \tan \left (x \right )-y=-\cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(tan(x)*diff(y(x),x)=y(x)-cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (\cot \left (x \right )-\frac {\pi }{2}+x +c_{1} \right ) \sin \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.061 (sec). Leaf size: 28
DSolve[Tan[x]*y'[x]==y[x]-Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \cos (x) \operatorname {Hypergeometric2F1}\left (-\frac {1}{2},1,\frac {1}{2},-\tan ^2(x)\right )+c_1 \sin (x) \]