Internal problem ID [6670]
Book: Second order enumerated odes
Section: section 1
Problem number: 37.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+y^{\prime }-\cos \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 21
dsolve(diff(y(x),x$2)+diff(y(x),x)=cos(x),y(x), singsol=all)
\[ y \relax (x ) = -{\mathrm e}^{-x} c_{1}+\frac {\sin \relax (x )}{2}-\frac {\cos \relax (x )}{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.094 (sec). Leaf size: 28
DSolve[y''[x]+y'[x]==Cos[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{2} \left (\sin (x)-\cos (x)-2 c_1 e^{-x}\right )+c_2 \\ \end{align*}