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

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

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

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

y = - \frac{2}{- cos ( x ^{2} ) + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{- cos ( x ^{2} ) + c _{1}}

y = - \frac{2}{- cos ( x ^{2} ) + c _{1}}

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

\frac{d y}{d x} = - \frac{3}{8} x^{5} y^{8}

y^{^{'}} + y cos (x) = 6 cos (x), y (0) = 8

x y^{^{'}} = (x - 1) y^{2}

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