Internal problem ID [6589]
Book: First order enumerated odes
Section: section 1
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-\sin \relax (x )-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 17
dsolve(diff(y(x),x)=sin(x)+y(x),y(x), singsol=all)
\[ y \relax (x ) = -\frac {\cos \relax (x )}{2}-\frac {\sin \relax (x )}{2}+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.085 (sec). Leaf size: 24
DSolve[y'[x]==Sin[x]+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {\sin (x)}{2}-\frac {\cos (x)}{2}+c_1 e^x \\ \end{align*}