2.1470   ODE No. 1470

\[ y^{(3)}(x)-\sin (x) y''(x)-2 \cos (x) y'(x)+y(x) \sin (x)-\log (x)=0 \] Mathematica : cpu = 2.40225 (sec), leaf count = 64


\[\left \{\left \{y(x)\to e^{-\cos (x)} \int _1^x\frac {1}{4} e^{\cos (K[1])} \left (2 \log (K[1]) K[1]^2-3 K[1]^2+4 c_1 K[1]+4 c_2\right )dK[1]+c_3 e^{-\cos (x)}\right \}\right \}\] Maple : cpu = 0.082 (sec), leaf count = 36


\[y \relax (x ) = \left (c_{3}+\int \left (2 c_{1} x +c_{2}-\frac {3 x^{2}}{4}+\frac {x^{2} \ln \relax (x )}{2}\right ) {\mathrm e}^{\cos \relax (x )}d x \right ) {\mathrm e}^{-\cos \relax (x )}\]