Internal problem ID [7342]
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`]]
\[ \boxed {y^{\prime }-y=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)=sin(x)+y(x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\cos \left (x \right )}{2}-\frac {\sin \left (x \right )}{2}+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 24
DSolve[y'[x]==Sin[x]+y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {\sin (x)}{2}-\frac {\cos (x)}{2}+c_1 e^x \]