Internal problem ID [3289]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 25.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\left (1-y\right ) \sec \left (x \right )=-\tan \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+tan(x) = (1-y(x))*sec(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x +c_{1}}{\sec \left (x \right )+\tan \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.792 (sec). Leaf size: 21
DSolve[y'[x]+Tan[x]==(1-y[x])*Sec[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to (x+c_1) e^{-2 \text {arctanh}\left (\tan \left (\frac {x}{2}\right )\right )} \]