ODE
\[ y''(x)+y(x)=\sec (x) \] ODE Classification
[[_2nd_order, _linear, _nonhomogeneous]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.158985 (sec), leaf count = 22
\[\{\{y(x)\to (x+c_2) \sin (x)+\cos (x) (\log (\cos (x))+c_1)\}\}\]
Maple ✓
cpu = 0.381 (sec), leaf count = 26
\[\left [y \left (x \right ) = \sin \left (x \right ) \textit {\_C2} +\textit {\_C1} \cos \left (x \right )+x \sin \left (x \right )-\ln \left (\frac {1}{\cos \left (x \right )}\right ) \cos \left (x \right )\right ]\] Mathematica raw input
DSolve[y[x] + y''[x] == Sec[x],y[x],x]
Mathematica raw output
{{y[x] -> Cos[x]*(C[1] + Log[Cos[x]]) + (x + C[2])*Sin[x]}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+y(x) = sec(x), y(x))
Maple raw output
[y(x) = sin(x)*_C2+_C1*cos(x)+x*sin(x)-ln(1/cos(x))*cos(x)]