Internal problem ID [4263]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 3. Linear First-Order Equations. page
403
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x^{\prime }-\cos \left (y \right )+x \tan \left (y \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(x(y),y)=cos(y)-x(y)*tan(y),x(y), singsol=all)
\[ x \left (y \right ) = \left (y +c_{1} \right ) \cos \left (y \right ) \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 12
DSolve[x'[y]==Cos[y]-x[y]*Tan[y],x[y],y,IncludeSingularSolutions -> True]
\begin{align*} x(y)\to (y+c_1) \cos (y) \\ \end{align*}