Internal problem ID [7425]
Book: Second order enumerated odes
Section: section 1
Problem number: 36.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }+y^{\prime }=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x$2)+diff(y(x),x)=sin(x),y(x), singsol=all)
\[ y \left (x \right ) = -{\mathrm e}^{-x} c_{1} -\frac {\sin \left (x \right )}{2}-\frac {\cos \left (x \right )}{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.112 (sec). Leaf size: 29
DSolve[y''[x]+y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {\sin (x)}{2}-\frac {\cos (x)}{2}+c_1 \left (-e^{-x}\right )+c_2 \]