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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

2 x y + 4 x + (x^{2} - 4) \frac{d y}{d x} = 0

(1 - x^{2}) \frac{d y}{d x} - 2 x \frac{d y}{d x} + 3 y = 0

\frac{d y}{d t} = \frac{y ^{2}}{t + 2}

\frac{d x}{d y} = 10 - x

\frac{d y}{d x} = e^{4 y + 4 x}

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