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

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

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

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

y = 3 - 3 cos (x) + c_{1}

Solution steps

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

Solve separable ODE:

y = 3 - 3 cos (x) + c_{1}

y = 3 - 3 cos (x) + c_{1}

\frac{d y}{d x} = y (7 x^{2} + 5)

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

x^{2} \cdot y^{^{'}} - y = 0

\frac{d y}{d x} = \frac{1}{4} e^{- 2 y}, y (0) = 0

\frac{d y}{d x} = \frac{( 2 y ln ( y ) )}{( x )}, y (1) = 4

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