2.278   ODE No. 278

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

$$y^{\prime }(x)(y(x{)}^2+4\sin (x))-\cos (x)=0$$ ✓ Mathematica : cpu = 0.171733 (sec), leaf count = 39

$$\text{Solve}[-\frac{1}{32}{e}^{-4y(x)}(8y(x{)}^2+4y(x)+1)-e^{-4y(x)}\sin (x)=c_1,y(x)]$$ ✓ Maple : cpu = 0.042 (sec), leaf count = 28

$$\{\frac{(-8{\left(y\left(x\right)\right)}^2-4y\left(x\right)-32\sin \left(x\right)-1){\mathrm{e}}^{-4y\left(x\right)}}{32}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$