2.278   ODE No. 278

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x) \left (y(x)^2+4 \sin (x)\right )-\cos (x)=0 \] Mathematica : cpu = 0.171733 (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 = 0.042 (sec), leaf count = 28

\[ \left \{ {\frac { \left ( -8\, \left ( y \left ( x \right ) \right ) ^{2}-4\,y \left ( x \right ) -32\,\sin \left ( x \right ) -1 \right ) {{\rm e}^{-4\,y \left ( x \right ) }}}{32}}+{\it \_C1}=0 \right \} \]