Internal problem ID [8344]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+y \cos \left (x \right )={\mathrm e}^{-\sin \left (x \right )}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x) + y(x)*cos(x) - exp(-sin(x))=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{1} +x \right ) {\mathrm e}^{-\sin \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.128 (sec). Leaf size: 16
DSolve[y'[x] + y[x]*Cos[x] - Exp[-Sin[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to (x+c_1) e^{-\sin (x)} \]