1.7 problem 7

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)
 

\[ y \left (x \right ) = \left (x +c_{1} \right ) {\mathrm e}^{-\sin \left (x \right )} \]

✓ 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]
                                                                                    
                                                                                    
 

\[ y(x)\to (x+c_1) e^{-\sin (x)} \]