2.278   ODE No. 278

\[ y'(x) \left (y(x)^2+4 \sin (x)\right )-\cos (x)=0 \] Mathematica : cpu = 0.222127 (sec), leaf count = 39


\[\text {Solve}\left [-\frac {1}{32} e^{-4 y(x)} \left (8 y(x)^2+4 y(x)+1\right )-e^{-4 y(x)} \sin (x)=c_1,y(x)\right ]\] Maple : cpu = 0.065 (sec), leaf count = 28


\[\frac {\left (-8 y \relax (x )^{2}-4 y \relax (x )-32 \sin \relax (x )-1\right ) {\mathrm e}^{-4 y \relax (x )}}{32}+c_{1} = 0\]