Internal problem ID [5916]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number: 2 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\cos \left (x \right ) y=\cos \left (x \right ) \sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+cos(x)*y(x)=sin(x)*cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (x \right )-1+c_{1} {\mathrm e}^{-\sin \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 18
DSolve[y'[x]+Cos[x]*y[x]==Sin[x]*Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sin (x)+c_1 e^{-\sin (x)}-1 \]