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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{1}{x ( x ^{2} - 49 ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (x \cdot ln (x) - 1)

\frac{d}{d x} (\frac{tan ( x ) - 2}{sec ( x )})

(y^{2} + y x) d x - x^{2} d y = 0

\frac{\partial}{\partial x} (\frac{w}{( - 2 \cdot k \cdot \frac{T}{x} )})

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