Internal problem ID [11997]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 9, First order linear equations and the integrating factor. Exercises page
86
Problem number: 9.1 (iii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {z^{\prime }-z \tan \left (y \right )=\sin \left (y \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(z(y),y)=z(y)*tan(y)+sin(y),z(y), singsol=all)
\[ z \left (y \right ) = -\frac {\cos \left (y \right )}{2}+\sec \left (y \right ) c_{1} +\frac {\sec \left (y \right )}{4} \]
✓ Solution by Mathematica
Time used: 0.075 (sec). Leaf size: 17
DSolve[z'[y]==z[y]*Tan[y]+Sin[y],z[y],y,IncludeSingularSolutions -> True]
\[ z(y)\to -\frac {\cos (y)}{2}+c_1 \sec (y) \]