What is the solution for (dy)/(dx)=3y^2-y^2sin(x) ?

The solution for (dy)/(dx)=3y^2-y^2sin(x) is y=-1/(3x+cos(x)+c_{1)}

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(dy)/(dx)=3y^2-y^2sin(x)

\frac{d y}{d x} = 3 y^{2} - y^{2} sin (x)

y = - \frac{1}{3 x + cos ( x ) + c _{1}}

Solution steps

\frac{d y}{d x} = 3 y^{2} - y^{2} sin (x)

Solve separable ODE:

y = - \frac{1}{3 x + cos ( x ) + c _{1}}

y = - \frac{1}{3 x + cos ( x ) + c _{1}}

\frac{d y}{d x} = 3 x e^{3 x + y}

y e^{2 x} - (1 + e^{2 x}) \frac{d y}{d x} = 0

\frac{d y}{d x} + y cos (x) = 8 cos (x)

y^{^{'}} = y - (\frac{1}{1000}) y^{2}

\frac{d y}{d x} = cos^{2} (x) cos^{2} (2 y)

What is the solution for (dy)/(dx)=3y^2-y^2sin(x) ?
The solution for (dy)/(dx)=3y^2-y^2sin(x) is y=-1/(3x+cos(x)+c_{1)}