What is the solution for y(dy)/(dx)=2x(64+y^2) ?

The solution for y(dy)/(dx)=2x(64+y^2) is y=sqrt(e^{2x^2+c_{1)}-64},y=-sqrt(e^{2x^2+c_{1)}-64}

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y(dy)/(dx)=2x(64+y^2)

y \frac{d y}{d x} = 2 x (64 + y^{2})

y = e^{2 x^{2} + c_{1}} - 64, y = - e^{2 x^{2} + c_{1}} - 64

Solution steps

y \frac{d y}{d x} = 2 x (64 + y^{2})

Solve separable ODE:

y = e^{2 x^{2} + c_{1}} - 64, y = - e^{2 x^{2} + c_{1}} - 64

y = e^{2 x^{2} + c_{1}} - 64, y = - e^{2 x^{2} + c_{1}} - 64

\frac{d}{d x} (- \frac{3 x}{y})

x \to - 2 + lim (\frac{x}{x ^{2} - 4})

3 x^{2} + 4 x + 1

\frac{d}{d x} (\frac{x}{2 x - 1})

\frac{d y}{d t} = - 4 y

What is the solution for y(dy)/(dx)=2x(64+y^2) ?
The solution for y(dy)/(dx)=2x(64+y^2) is y=sqrt(e^{2x^2+c_{1)}-64},y=-sqrt(e^{2x^2+c_{1)}-64}